Question

This table displays the height of a balloon as it floats away.

What is the rate of change for the height as the time increases by 1 minute?

Rate of change =

Answer 1

Answer:

9.5ft/min

Step-by-step explanation:

find the common difference between the numbers and divide if by the time.

in this case:

73.5-64=9.5

and the time is in one minute

so:

9.5/1

Answer 2

Answer:

The height increases by 9.5 ft as the time increases by 1 minute.

Step-by-step explanation:

We have been given a table that displays the height of a balloon as it floats away. We are asked to find the rate of change for the height as the time increases by 1 minute.

Rate of the change for the height of balloon with each minute will be equal to slope of line.

$m=\frac{y_2-y_1}{x_2-x_1}$

Substitute coordinates of points (10,64) and (14,102) in slope formula.

$m=\frac{102-64}{14-10}$

$m=\frac{38}{4}$

$m=9.5$

Therefore, the rate of change is 9.5 feet per minute.