Question

A gardener is planting two types of trees: •Tree A is 36 inches tall and grows at a rate of 12 inches per year. •Tree B is 48 inches tall and grows at a rate of 10 inches per year. Which equation can be used to find x, the number years it will take for these trees to be the same height? A) 12 + 10 = 36x + 48x B) 12x + 10x = 36 + 48 C) 12x + 36 = 10x + 48 D) 12 + 36x = 10 + 48x

Answer 1

C

Explanation:

Answer 2

c) 12x + 36 = 10x + 48

Explanation:

We are given the following information:

Height of tree A = 36 inches

Growth rate of tree A = 12 inches per year.

Height of tree B = 48 inches

Growth rate of tree B = 10 inches per year.

If x is the number of years after which the tree will have same height.

Height of tree A in x years =
`36 + 12x`

Height of tree B in x years =
`48 + 10x`

Equating these equation,

`36 + 12x = 48 + 10x`

Hence, option c) represents the correct equation such that the tress will have same height in x years.