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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).

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MrRoyal

Answer:

The height is 4.5ft

Step-by-step explanation:

Given

[tex]Initial\ Height = 3\ ft[/tex]

[tex]Growth = 0.5\ ft[/tex] 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:

[tex]y = Initial\ Height + Growth * x[/tex]

[tex]y = 3 + 0.5 * x[/tex]

[tex]y = 3 + 0.5x[/tex]

To solve the required, we have that:

[tex]x = 3[/tex]

[tex]y = 3 + 0.5x[/tex] becomes

[tex]y = 3 + 0.5 *3[/tex]

[tex]y = 3 + 1.5[/tex]

[tex]y = 4.5[/tex]

Hence, the height is 4.5ft

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