Question

when emma moved into her new house, she planted a pine tree in her backyard. this table shows the trees height as time passed.

year	height (feet)
2017	6
2018	8
2019	9.5
2020	11
2021	12.5

what was the trees average growth rate between 2016 and 2021? round your answer to the nearest tenth. feet per year

Explanation:

Step1: Determine time - interval

The time interval from 2016 to 2021 is $2021 - 2016=5$ years.

Step2: Calculate height - change

The height of the tree in 2016 was 5 feet and in 2021 was 12.5 feet. The change in height is $12.5 - 5 = 7.5$ feet.

Step3: Calculate average growth rate

The average growth rate $r$ is given by the formula $r=\frac{\text{Change in height}}{\text{Time interval}}$. So, $r=\frac{7.5}{5}=1.5$ feet per year.

Answer:

1.5