Question

A tree initially measured 27 1/2 feet tall. Over the next 3 1/2 years, it grew to a final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?

Answer 1

Answer:

10.14 feet per year.

Step-by-step explanation:

Given:

Over the next 3 1/2 years, a tree grew to a final height of 35 1/2 feet.

Question asked:

During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?

Solution:

We can find the average yearly growth rate by using average formula, taking

final height of the tree as sum of observation and time span taken to growth as number of observation:-

As we know:

$Average=\frac{Sum\ of\ observation}{number \ of\ observation}$

             $=35\frac{1}{2} \div3\frac{1}{2} \\ \\ =\frac{71}{2} \div\frac{7}{2} \\ \\ =\frac{71}{2}\times\frac{2}{7} \\ \\ =\frac{142}{14} =10.14\ feet$

Thus, during $3\frac{1}{2} \ years$, the average yearly growth rate of the height of the tree was 10.14 feet per year