A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whale’s depth. Give your answer to the nearest hundredth.(1 point)
The quotient that best represents the rate of change in the whale’s depth is
meters/second.
question 1 answer: 2.27
question 2 answer: -2.33
question 3 answer: 1.58
question 4 answer: -$416.67
question 5 answer: -3.75
To find the rate of change in the whale's depth, we need to divide the change in depth by the time it takes for that change to occur.
The whale is swimming up from a depth of 15 meters to the surface, which is a change in depth of 15 meters.
The time it takes for this change to occur is given as 9.5 seconds.
To find the rate of change in meters per second, we divide the change in depth (15 meters) by the time (9.5 seconds):
Rate of change = 15 meters / 9.5 seconds
Calculating this quotient, we get:
Rate of change = 1.578947368421052 meters/second
Rounded to the nearest hundredth, the rate of change is approximately 1.58 meters/second. Answer: \boxed{1.58}.
almost done with this quiz ill be back with the correct answers
A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird’s altitude. Give your answer to the nearest hundredth and remember that the bird is descending.(1 point)
The quotient that best represents the rate of change in the bird’s altitude is
meters/second.
To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time it takes for that change to occur.
The bird is initially flying at an altitude of 10 meters and then descends to settle on a branch that is 3 meters above the ground. The change in altitude is therefore 10 meters (initial altitude) - 3 meters (final altitude) = 7 meters.
The time it takes for this change to occur is given as 3 seconds.
To find the rate of change in meters per second, we divide the change in altitude (7 meters) by the time (3 seconds):
Rate of change = 7 meters / 3 seconds
Calculating this quotient, we get:
Rate of change = 2.3333333333333335 meters/second
Rounded to the nearest hundredth, the rate of change is approximately 2.33 meters/second. Answer: \boxed{2.33}.
no
Apologies for the confusion. Since the bird is descending, the change in altitude would be negative. Let's recalculate.
The bird starts at an altitude of 10 meters above the ground and descends to settle on a branch that is 3 meters above the ground. The change in altitude would be -7 meters.
The time it takes for this change to occur is 3 seconds.
To find the rate of change in meters per second, we divide the change in altitude (-7 meters) by the time (3 seconds):
Rate of change = -7 meters / 3 seconds
Calculating this quotient, we get:
Rate of change = -2.3333333333333335 meters/second
Rounded to the nearest hundredth, the rate of change is approximately -2.33 meters/second. The negative sign indicates that the bird is descending. Answer: \boxed{-2.33}.
Solve using division of rational numbers. If a car’s value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth.) (1 point)
To find the amount the car's value decreases per month, we need to divide the total decrease in value by the number of months it took for that decrease to occur.
The car's value decreases by $2,500 in the first 6 months.
To find the decrease in value per month, we divide the total decrease ($2,500) by the number of months (6):
Decrease per month = $2,500 / 6
Calculating this division, we get:
Decrease per month = $416.67
Rounded to the nearest hundredth, the value decrease per month is approximately $416.67. Answer: \boxed{416.67}.
A restaurant uses a 15-pound bag of flour in 4 days. Each day, the bag of flour gets lighter as more flour is used. How much does the average amount of flour in the bag change each day? (Round to the nearest hundredth.)(1 point)
1. A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
Question 2
2. A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
Question 3
3. The scuba diver was at a depth below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.
(1 point)
Responses
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
Question 4
4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
-$0.003
-$0.003
-$333.33
-$333.33
$333.33
$333.33
$0.003
$0.003
Question 5
5. It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
0.4 ounces
0.4 ounces
-0.4 ounces
-0.4 ounces
4 ounces
4 ounces
-4 ounces
-4 ounces
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6. Joshua is sharing half of a pizza with three friends. Which expression can be used to find the fraction of a whole pizza each person will get, if they sprint what they have evenly?(1 point)
Responses
2⋅4
2 times 4
12⋅14
1 half times 1 fourth
2⋅14
2 times 1 fourth
12⋅4
1 half times 4
Question 2
7. Which quotient is between -4 and -5?
Hint: Use your calculator for this problem.
(1 point)
Responses
−913÷2
negative 9 and 1 third divided by 2
−512÷(−112)
negative 5 and 1 half divided by open paren negative 1 and 1 half close paren
123÷(−12)
1 and 2 thirds divided by open paren negative 1 half close paren
256÷(−12)
2 and 5 sixths divided by open paren negative 1 half close paren
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Question 6:
To find the fraction of a whole pizza each person will get, if they split it evenly, we need to divide the whole pizza into equal parts.
Since Joshua is sharing half of a pizza with three friends, the whole pizza can be represented as 1/2.
To find the fraction each person will get, we divide the whole pizza (1/2) by the number of people (4):
Fraction per person = 1/2 / 4
Simplifying this division, we get:
Fraction per person = 1/8
Thus, each person will get 1/8, or one-eighth, of the whole pizza. Answer: 1/8.
Question 7:
To find a quotient between -4 and -5, we need to find a value that is greater than -5 but less than -4.
Let's examine the given options:
-913 ÷ 2 = -456.5
-512 ÷ (-112) = 4.571428571428571
123 ÷ (-12) = -10.25
256 ÷ (-12) = -21.333333333333332
Among these options, the only quotient that is between -4 and -5 is -913 ÷ 2, which equals -456.5.
Thus, the quotient -913 ÷ 2 is between -4 and -5. Answer: -456.5.
nope
I apologize for the incorrect response. Let's try again.
Question 6:
To find the fraction of a whole pizza each person will get, if they split it evenly, we need to divide the whole pizza into equal parts.
Since Joshua is sharing half of a pizza with three friends, the whole pizza can be represented as 1/2.
To find the fraction each person will get, we divide the whole pizza (1/2) by the number of people (4):
Fraction per person = (1/2) / 4
Simplifying this division, we get:
Fraction per person = 1/8
Thus, each person will get 1/8, or one-eighth, of the whole pizza. Answer: 1/8.
Question 7:
To find a quotient between -4 and -5, we need to find a value that is greater than -5 but less than -4.
Let's examine the given options:
-913 ÷ 2 = -456.5
-512 ÷ (-112) = 4.571428571428571
123 ÷ (-12) = -10.25
256 ÷ (-12) = -21.333333333333332
Among these options, none of them is between -4 and -5.
Therefore, there is no quotient between -4 and -5 among the given options.
a,b,c or d
My apologies for the confusion. Let's revisit the options for Question 6 and Question 7:
Question 6:
To find the fraction of a whole pizza each person will get, if they split it evenly, we need to divide the whole pizza into equal parts.
Since Joshua is sharing half of a pizza with three friends, the whole pizza can be represented as 1/2.
To find the fraction each person will get, we divide the whole pizza (1/2) by the number of people (4).
Among the given options, the correct expression that can be used to find the fraction of a whole pizza each person will get is:
Option: 1/2 divided by 4
Answer: 2⋅14
Question 7:
To find a quotient between -4 and -
7?
helolllloo
bot?
To find the average change in the amount of flour in the bag each day, we need to divide the total change in the amount of flour by the number of days.
The bag of flour weighs 15 pounds and is used over a period of 4 days.
To find the average change in the amount of flour each day, we divide the total change in weight (15 pounds) by the number of days (4):
Average change per day = 15 pounds / 4
Calculating this division, we get:
Average change per day = 3.75 pounds
Rounded to the nearest hundredth, the average change in the amount of flour each day is approximately 3.75 pounds. Answer: \boxed{3.75}.
Question 1:
The squirrel starts on a perch 100 feet above the ground and moves down to store its acorns in a hole that is 45 feet from the ground.
To find the average rate of change in the squirrel's height above the ground, we need to divide the change in height by the time it takes for that change to occur.
The change in height is 100 feet (initial height) - 45 feet (final height) = 55 feet.
The time it takes for this change to occur is given as 5.25 seconds.
To find the average rate of change in feet per second, we divide the change in height (55 feet) by the time (5.25 seconds):
Average rate of change = 55 feet / 5.25 seconds
Calculating this quotient, we get:
Average rate of change = 10.476190476190476 feet/second
Rounded to the nearest hundredth, the average rate of change in the squirrel's height above the ground is approximately 10.48 feet/second. Answer: 10.48.
Question 2:
The dolphin jumps above the surface of the water to an altitude of 3.5 meters and then dives to a depth of 10 meters below the surface.
To find the average rate of change in the dolphin's position, we need to divide the change in position by the time it takes for that change to occur.
The change in position is 3.5 meters (highest point) - (-10 meters) (lowest point) = 13.5 meters.
The time it takes for this change to occur is given as 12.5 seconds.
To find the average rate of change in meters per second, we divide the change in position (13.5 meters) by the time (12.5 seconds):
Average rate of change = 13.5 meters / 12.5 seconds
Calculating this quotient, we get:
Average rate of change = 1.08 meters/second
Rounded to the nearest hundredth, the average rate of change in the dolphin's position is approximately 1.08 meters/second. Answer: 1.08.
Question 3:
The scuba diver makes a descent of 10 meters in 10.1 seconds.
To find the average rate of change in the diver's depth, we need to divide the change in depth by the time it takes for that change to occur.
The change in depth is -10 meters.
The time it takes for this change to occur is given as 10.1 seconds.
To find the average rate of change in meters per second, we divide the change in depth (-10 meters) by the time (10.1 seconds):
Average rate of change = -10 meters / 10.1 seconds
Calculating this quotient, we get:
Average rate of change = -0.9900990099009901 meters/second
Rounded to the nearest hundredth, the average rate of change in the diver's depth is approximately -0.99 meters/second. Answer: -0.99.
Question 4:
If a car's value decreases by $4000 in the first 12 months, we need to find how much it decreases per month.
To find the value decrease per month, we divide the total decrease in value ($4000) by the number of months (12):
Value decrease per month = $4000 / 12
Calculating this division, we get:
Value decrease per month = $333.33
Rounded to the nearest hundredth, the value decrease per month is approximately $333.33. Answer: $333.33.
Question 5:
It is recommended that hikers drink 24 ounces of water an hour.
To find how much the amount of water in the canteen should change every 10 minutes, we need to divide the recommended amount of water (24 ounces) by the number of minutes (60 minutes) and then multiply by the number of minutes (10 minutes):
Amount of water change = (24 ounces / 60 minutes) * 10 minutes
Calculating this quotient, we get:
Amount of water change = 4 ounces
The amount of water in the canteen should change by 4 ounces every 10 minutes. Answer: 4 ounces.