23
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Cumulative exam

Question 23 • Common Core Algebra I B-IC

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

Answer
A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x

Explanation

A 25% decrease means the textbook keeps 100% − 25% = 75% of its value after each owner, so its value is multiplied by 0.75 each time. Starting at $85, the function is f(x) = 85(0.75)^x, which is choice A: f(x) = 85(1 − 0.25)^x.

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