Question

Janet planted a pine tree in her backyard, initially standing at 10 inches tall. The tree grew at a constant rate, reaching a height of 85 inches after 5 years. Is the relationship between the total height of the tree and the number of years proportional?

A. Yes, the relationship is proportional.
B. No, the relationship is not proportional.
C. It's unclear based on the provided information.
D. It cannot be determined from the given data.

Answer 1

The relationship between the total height of the tree and the number of years is proportional.

Step-by-step explanation:

To determine if the relationship between the height of the tree and the number of years is proportional, we need to compare the ratios of the heights to the ratios of the years. Let's calculate the ratio of height to the number of years for the given data:

Ratio of height to years = (85 inches - 10 inches) / (5 years - 0 years) = 75 inches / 5 years = 15 inches/year

Since the ratio of height to years is constant at 15 inches/year, we can conclude that the relationship between the total height of the tree and the number of years is proportional.