Question

a flower 3in. tall grows an average of 1.5 in. each month. Which equation models the flower's height h after x months?

Answer 1

The required equation is
`h=3+1.5x`, where h is height and x is number of months.

Explanation:

The height of the flower is the sum of initial height and variable height.

Let h is height, h₀ is initial height, m is average growth rate and x is number of months, then the height of the flower is

`h=h_0+mx`

It is given that the initial height of the flower is 3 inches and the average growth rate is 1.5. So the height of the flower is model by the equation

`h=3+1.5x`

Therefore the required equation is
`h=3+1.5x`, where h is height and x is number of months.

Answer 2

y=3+1.5x , because the plants original height is 3 in, and then it grows 1.5 in after every month.