Chapter 8, Problem 24CCSR

To determine

To Calculate: height of the tree after 6 years.

Answer to Problem 24CCSR

The height of the tree after 6 years will be 8ft.

Explanation of Solution

Given information:

System graph:

  

The height of tree at the time of planting was 5ft.

Calculation:

Consider the graph provided in textbook.

It is cleared that the height of the tree increases $1\text{ft}$ in 2 years.

Since, the tree when planted had the height 5 ft. then after 6 years the height of the tree is calculated as follows:

In 2 years the tree increased $=1\text{ft}$

In 1 year the tree increased $=\frac{1}{2}$ ft.

So, in 6 years the tree increased $=\frac{1}{2}\times 6\text{ft}$ $=3\text{ft}$

Total height after 6 years can be calculated as

  $\begin{array}{cc}\text{Initial height}+\text{Increased height}& =5\text{ft}.+3\text{ft}\\ & =8\text{ft}\end{array}$

Hence, the tree after 6 years will be $8\text{ft}.$