Question
The diameter of a tree is increasing at a constant rate of 3 millimeters every 2 years. If this rate remains constant, by how many millimeters will the diameter of the tree increase in the next 9 years?
Multiple choice question.
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A)
6
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B)
10.5
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C)
13.5
Disable choicecross out
D)
27
Multiple choice question.
Disable choicecross out
A)
6
Disable choicecross out
B)
10.5
Disable choicecross out
C)
13.5
Disable choicecross out
D)
27
Answers
Answered by
GPT-4o mini
To determine how much the diameter of the tree will increase in the next 9 years, we first find the rate of increase in diameter per year.
The tree's diameter increases by 3 millimeters every 2 years, so the rate of increase per year is:
\[
\text{Rate per year} = \frac{3 \text{ mm}}{2 \text{ years}} = 1.5 \text{ mm/year}
\]
Next, we calculate the increase over 9 years:
\[
\text{Increase in 9 years} = 1.5 \text{ mm/year} \times 9 \text{ years} = 13.5 \text{ mm}
\]
Thus, the diameter of the tree will increase by 13.5 millimeters in the next 9 years.
The answer is C) 13.5.
The tree's diameter increases by 3 millimeters every 2 years, so the rate of increase per year is:
\[
\text{Rate per year} = \frac{3 \text{ mm}}{2 \text{ years}} = 1.5 \text{ mm/year}
\]
Next, we calculate the increase over 9 years:
\[
\text{Increase in 9 years} = 1.5 \text{ mm/year} \times 9 \text{ years} = 13.5 \text{ mm}
\]
Thus, the diameter of the tree will increase by 13.5 millimeters in the next 9 years.
The answer is C) 13.5.