Question

Ashley is keeping track of the growth of a Bamboo Plant. When she purchased the plant last month, its height was 9.75 inches. Its height today is 9.5 inches. Assuming that the growth rate remains unchanged, which equation models the height of a bamboo plant after X months of growth? Estimate the height of the plant in six months.

A) H=9.75−0.25X
B) H=9.75+0.25X
C) H=9.5+0.25X
D) H=9.5−0.25X

Answer 1

The correct equation is H = 9.75 - 0.25X, which models a decrease in height. Using this equation, the estimated height of the bamboo plant after six months would be 8.25 inches.

Step-by-step explanation:

The task is to find an equation that models the height of a bamboo plant after X months of growth given that the height decreased from 9.75 inches to 9.5 inches in one month, which is a change of -0.25 inches. The equation that models this decline in height over time would be H = 9.75 - 0.25X, where H is the height after X months.

To estimate the height of the plant in six months, we substitute X with 6 in the equation:

H = 9.75 - 0.25(6)

H = 9.75 - 1.5

H = 8.25 inches

Therefore, the estimated height of the bamboo plant after six months would be 8.25 inches.