Question

A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).

Answer 1

The height is 4.5ft

Explanation:

Given

`Initial\ Height = 3\ ft`

`Growth = 0.5\ ft` yearly

Required

Determine the height in 3 years

First, we need to determine the growth equation.

Represent the height with h and the years with x

So:

`y = Initial\ Height + Growth * x`

`y = 3 + 0.5 * x`

`y = 3 + 0.5x`

To solve the required, we have that:

`x = 3`

`y = 3 + 0.5x` becomes

`y = 3 + 0.5 *3`

`y = 3 + 1.5`

`y = 4.5`

Hence, the height is 4.5ft