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}.