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A tree initially measured 4 feet tall. Over the next 7 years, it grew to a final height of 12 feet. During those 7 years, what was the average yearly growth rate of the tree's height?

A) 1.14 feet/year
B) 1.28 feet/year
C) 1.43 feet/year
D) 1.57 feet/year

Answer :

Final answer:

To find the average yearly growth rate of the tree, the total growth in height was calculated by subtracting the initial height from the final height, resulting in 16½ feet of total growth. Dividing this by the 7½ years gives an average yearly growth rate of 2.2 feet/year, which is not an option provided.

Explanation:

The subject of this question is mathematics, specifically dealing with the average yearly growth rate of a tree. The problem states that a tree initially measured 401/2 feet tall and grew to a final height of 57 feet over a period of 71/2 years. To calculate the average yearly growth rate, we need to determine the total growth in height and then divide it by the number of years.

First, we find the total growth by subtracting the initial height from the final height:

57 feet (final height) - 401/2 feet (initial height) = 161/2 feet (total growth)

Next, we divide the total growth by the number of years to find the average yearly growth rate:

161/2 feet (total growth) / 71/2 years = 2.2 feet/year

Therefore, the average yearly growth rate of the tree over those 71/2 years is 2.2 feet/year, which is not one of the options provided in the multiple-choice answers. There may have been a mistake in the given options or in the interpretation of the question's numbers.

Learn more about average yearly growth rate here:

https://brainly.com/question/29164800

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