15
QuizMultiple Choice

Consecutive Growth and Decay Factors

Question 15 • Applications and Modeling

What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its value, and finally decreases by 62% of its value?

Answer
A
0.22
B
0.0496
C
0.1824
D
0.62

Explanation

For each decrease, multiply by the fraction of the value that remains: a 20% decrease leaves 0.80, a 40% decrease leaves 0.60, and a 62% decrease leaves 0.38. The overall decay factor is 0.80 × 0.60 × 0.38 = 0.1824, so the correct choice is 0.1824.

AI-written and checked against the verified answer.

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