Question

The height of a tree increases by 60% each year. When planted the tree was 40cm tall. How tall will the tree be in 5 years time.

Answer 1

≈419.4 cm.

Explanation:

To solve this problem, you will need to set up an exponential graph as shown:

y= 40 ·
`(1.6)^(x)`

The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.

We can simply solve this by substituting 5 for x:

y= 40·
`(1.6)^(5)`

y ≈ 419.4 cm.