A mountain goat is climbing to the top of a large cliff. The cliff is 50 feet higher than its starting point. If it takes the goat 22 minutes to climb this cliff, interpret the quotient to describe the rate of change in the goat’s elevation. Give your answer to the nearest hundredth.(1 point)..
Apologies for the confusion.
To calculate the rate of change in the bird's altitude, we need to divide the change in altitude by the time taken. In this case, the bird is descending from an altitude of 10 meters to a height of 3 meters in a time span of 3 seconds.
The change in altitude is 10 meters - 3 meters = 7 meters.
The time taken is 3 seconds.
Therefore, the rate of change in the bird's altitude is 7 meters / 3 seconds = 2.33 meters per second.
Since the bird is descending, the rate of change in altitude would be negative. So the correct interpretation is that the bird is descending at a rate of approximately -2.33 meters per second.
The rate of change in the goat's elevation can be described as the change in elevation divided by the time it takes to climb the cliff.
In this case, the change in elevation is 50 feet higher than the starting point, and the time it takes to climb is 22 minutes.
So, the quotient to describe the rate of change in the goat's elevation is 50 feet / 22 minutes ≈ 2.27 feet per minute.
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 rate of change in the bird's altitude can be described as the change in altitude divided by the time it takes to descend.
In this case, the change in altitude is from 10 meters above the ground to settling on a branch 3 meters above the ground. The time it takes to descend is 3 seconds.
So, the quotient to describe the rate of change in the bird's altitude is (10 meters - 3 meters) / 3 seconds ≈ 2.33 meters per second.
Question
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.
Apologies for the previous incorrect response.
In this case, the bird is descending from an altitude of 10 meters to a height of 3 meters in a time span of 3 seconds.
To find the rate of change in altitude, we calculate the change in altitude divided by the time taken.
The change in altitude is 10 meters - 3 meters = 7 meters.
The time taken is 3 seconds.
Therefore, the rate of change in the bird's altitude is 7 meters / 3 seconds ≈ 2.33 meters per second (rounded to the nearest hundredth).
not right'
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
To find the rate of change in the whale's depth, we divide the change in depth by the time taken to reach the surface.
The change in depth is from 15 meters below the surface to reaching the surface, which is a total distance of 15 meters.
The time taken is 9.5 seconds.
Therefore, the rate of change in the whale's depth is 15 meters / 9.5 seconds ≈ 1.58 meters per second (rounded to the nearest hundredth).
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.)
To find the value decrease per month, we divide the total decrease in value by the number of months.
In this case, the car's value decreases by $2,500 in the first 6 months.
To find the value decrease per month, we divide $2,500 by 6.
$2,500 / 6 ≈ $416.67 (rounded to the nearest hundredth).
Therefore, the value of the car decreases by approximately $416.67 per month.
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.)
To find the average amount of flour that changes each day, we divide the total change in the amount of flour by the number of days.
In this case, the bag of flour weighs 15 pounds and is used up over a period of 4 days.
To find the average amount of flour that changes each day, we divide 15 pounds by 4 days.
15 pounds / 4 days ≈ 3.75 pounds (rounded to the nearest hundredth).
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day.
wrong
Apologies for the confusion. To find the average amount of flour that changes each day, we need to calculate the difference in flour weight between the starting and ending point, and divide it by the number of days.
In this case, the bag of flour starts at 15 pounds and is used up over a period of 4 days.
To find the average amount of flour that changes each day, we subtract the starting weight from the ending weight and divide it by the number of days.
The change in weight is 0 pounds (since the bag is used up completely).
Therefore, the average amount of flour in the bag remains the same each day, which is approximately 0 pounds.
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)
To find the average amount of flour that changes each day, we divide the total change in the amount of flour by the number of days.
In this case, the bag of flour weighs 15 pounds and is used up over a period of 4 days.
To find the change in the amount of flour each day, we subtract the final weight from the initial weight.
Change in weight = 15 pounds - 0 pounds (since the bag is used up completely) = 15 pounds.
To find the average amount of flour that changes each day, we divide the change in weight by the number of days.
Average change per day = 15 pounds / 4 days = 3.75 pounds.
Therefore, the average amount of flour in the bag changes by approximately 3.75 pounds each day.