Question

How many inches does Landon's elevation change per minute between 4 minutes and 8 minutes

Answer 1

32 inches per minute between 4 min and 8 min

Answer 2

The amount of inches Landon's elevation change per minute between 4 minutes and 8 minutes is 0.75 inches per minute.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

$Rate = \dfrac{y_2 - y_1}{x_2 - x_1}$

where we have

$\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2$

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For this case, the missing image is attached below.

The rate of elevation is to be measured when time changes from 4 minutes to 8 minutes.

The independent variable is the time, and dependent variable is height.

• For t = 4 minutes, the height was 3 inches
• For t = 8 minutes, the height was 6 inches

Thus, we get:

$Rate = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6-3}{8-4} = \dfrac{3}{4} = 0.75$

Thus, the amount of inches Landon's elevation change per minute between 4 minutes and 8 minutes is 0.75 inches per minute.

Learn more about rate of change here:

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