Question

Eli measured his new pine tree at 2 weeks, and it was 7 inches tall. The pine tree grew the same amount each week. Part 1: If the initial height of the pine tree was 0 inches, which equation will determine the height, h, of the pine tree after w weeks?

a) h = 7w
b) h = 7 + w
c) h = 2w + 7
d) h = 2w - 7

Answer 1

The equation that will determine the height of the pine tree after w weeks is h = 2w + 7.

Step-by-step explanation:

The equation that will determine the height of the pine tree after w weeks is h = 2w + 7, option c.

This equation represents the fact that the pine tree grew the same amount each week. The constant term of 7 represents the initial height of the tree when it was measured at 2 weeks. The coefficient of w represents the growth of the tree per week, which is 2 inches. By multiplying the coefficient by the number of weeks and adding the constant term, we can determine the height of the tree after a certain number of weeks.