Question

Ashley is keeping track of the growth of a bamboo plant. When she purchased the plant last month, its height was 8.75 inches. Its height today is 9.5 inches. Assuming that the growth rate remains unchanged, which equation models the height of the bamboo plant after x months of growth? Using the equation, estimate the height of the plant in 6 months.

A) Y - 7.5x: about 11 inches

B) y = x + 9.5: about 15 inches

C) y = 8.75x: about 52.5 inches

D) y + 7.5x + 8.75: about 13.25 inches

Answer 1

The equation that models the height of the bamboo plant after x months of growth is y = 0.75x + 8.75. The estimated height of the plant in 6 months is 13.25 inches.

Step-by-step explanation:

To model the height of the bamboo plant after x months of growth, we need to find the equation that represents the relationship between the height of the plant and the number of months. Since the growth rate remains unchanged, we can use a linear equation of the form y = mx + b, where y represents the height of the plant and x represents the number of months. The equation that matches the given data is y = 0.75x + 8.75. To estimate the height of the plant in 6 months, we substitute x = 6 into the equation: y = 0.75(6) + 8.75 = 13.25 inches.