Question

Claire bought a plant and planted it in a pot near a window in her house. The plant began to grow 2 inches per month, and after 7 months the plant was 32 inches tall. Write an equation for the function H(t), representing the height, in inches, of the plant t months after Claire bought the plant.

H(t)= answer

Answer 1

Answer:H(t)=18+2t

Explanation:

Let
`h_(0)` the initial height of the tree.

It is given that the tree grows
`2` inches every month.

So,in
`t` months,the tree grows
`2t` inches.

The final height of the tree after
`t` months is the sum of its initial height and its growth in
`t` months.

So,
`H(t)=h_(0)+2t`

Given that
`H(7)=32`

So,
`32=h_(0)+2(7)`

`h_(0)=18`

So,
`H(t)=18+2t`