Question

Calvin is comparing the growth of two plants. Plant A started at a height of four inches and grows two inches each month. Plant B grew according to this equation, h = 4m + 2, where h, is the height after m, months. At what month will the two plants be the same height?

Answer 1

After 1 month, they will have same heights.

Explanation:

Calvin is comparing the growth of two plants.

Plant A started at a height of four inches and grows two inches each month.

h'=4+2m

where

h' is height of plant after m months.

Plant B grew according to this equation, h = 4m + 2, where h, is the height after m, months.

We need to find at what month the plants have the same height. ATQ.

h = h'

4+2m = 4m + 2

Taking like terms together,

4-2 = 4m-2m

2=2m

m = 1

Hence, after 1 month, the plants will have same height.