11
QuizMultiple Choice

Consecutive Growth and Decay Factors

Question 11 • Applications and Modeling

What is the growth factor that corresponds to a product that increases its value first by 13.2%, and then increases by 16.5% of its value, and finally increases by 27% of its value? Round to the thenths place.

Answer
A
1.57
B
1.67
C
3.57
D
.59

Explanation

For successive increases, multiply the growth factors: 1.132 × 1.165 × 1.27 = 1.6748506. Rounded to the tenths place, the growth factor is 1.7. Choice B, 1.67, is the listed value closest to this result, though it is rounded to the hundredths place rather than the tenths place.

AI-written and checked against the verified answer.

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