Question

1. A tree 5 ft tall grows an average of 8 in. each year. Which equation models the trees height h after x years?

A) H = -8x – 5
B) H = 8x – 5
C) H = -8x + 5
D) H = 8x + 5

Answer 1

well we know that it grows 8 in a year. so after 1 year has grown 1 * 8 and after 2 years 2 * 8 and after 3 years 3 * 8 and so on. since x is the year we can say 8x. but it starts with 5 ft so we add in the 5 to get h.
h = 8x + 5

Answer 2

The correct option is D) H = 8x + 5

Explanation:

We need to calculate the equation models the trees height h after x years

As given that it grows 8 in a year

so, after one year has grown 1 x 8 similarly after 2 years 2 x 8 and so on..

Since, x is the year we can say 8x.

it starts with 5ft so, we add 5 in 8x to get H.

but it starts with 5ft so we add in the 5 to get H.

H = 8x + 5

Therefore, the correct option is D) H = 8x + 5