Question

Clarissa wants to create more shade in her yard to block the hot sun, so she buys a sapling of an oak tree and plants it in the yard. To make sure the tree is growing at a healthy rate, she makes the following table to track its height over a period of weeks. What is the average rate of change in the tree's height from week 3 to week 9? Enter your solution into the box below.

Answer 1

The answer is 7.

Explanation:

Determine what values to use from the table to find the average rate of change.

The problem asks for the average rate of change (AROC) from week 3 to week 9. The points referring to these measurements would be (3, 41) and (9, 83), respectively.

Step 2

FInd the AROC from (3, 41) to (9, 83).

The formula for the slope of a line between two given points (which is the same as AROC from the first two the second point) is

AROC = y2−y1x2−x1

In your points, x1 is 3, x2 is 9, y1 is 41, and y2 is 83. Plug these values into the above formula and simplify.

AROC = 83−419−3=426=7

The AROC is 7.

Step 3

Enter your solution.

Enter the value 7 and move on to the next question.