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.

Answer 1

To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time it took for the bird to settle on the branch.

The change in altitude is 10 meters (starting at an average altitude of 10 meters and settling on a branch 3 meters above the ground).

The time it took for the bird to settle on the branch is 3 seconds.

Dividing the change in altitude by the time, we have:

Rate of change in altitude = change in altitude / time = 10 meters / 3 seconds

To get the quotient to the nearest hundredth, we divide 10 by 3 and round to two decimal places:

Rate of change in altitude = 3.33 meters/second

So, the quotient that best represents the rate of change in the bird's altitude is 3.33 meters/second.

Answer 2

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)

Answer 3

To find the rate of change in the whale's depth, we need to divide the change in depth by the time it took for the whale to reach the surface.

The change in depth is 15 meters (starting at a current depth of 15 meters below the surface and swimming up to the surface).

The time it took for the whale to reach the surface is 9.5 seconds.

Dividing the change in depth by the time, we have:

Rate of change in depth = change in depth / time = 15 meters / 9.5 seconds

To get the quotient to the nearest hundredth, we divide 15 by 9.5 and round to two decimal places:

Rate of change in depth = 1.58 meters/second

So, the quotient that best represents the rate of change in the whale's depth is 1.58 meters/second.

Answer 4

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)

Answer 5

To find the decrease in value per month, we need to divide the decrease in value by the number of months.

The decrease in value is $2,500.

The number of months is 6.

Dividing the decrease in value by the number of months, we have:

Decrease per month = decrease in value / number of months = $2,500 / 6 months

To get the quotient to the nearest hundredth, we divide $2,500 by 6 and round to two decimal places:

Decrease per month = $416.67

So, the value decreases by approximately $416.67 per month.