10
QuizMultiple Choice

Composition of Functions and Modeling — Quiz

Question 10 • Precalculus

Ana is purchasing new furniture and must pay a 10 percent sales tax. She can have the furniture delivered for an additional 25 dollars fee that is not taxed. Which function represents the amount Ana will pay for furniture with a pretax price of x dollars?

Answer
A
cap p times x is equal to 1 point 1 0 times open paren x plus 25 close paren
B
cap p times x is equal to 0 point 1 0 times open paren x plus 25 close paren
C
cap p times x is equal to 1 point 1 0 x plus 25
D
cap p times x is equal to 0 point 1 0 x plus 25

Explanation

A 10% sales tax on the furniture means Ana pays 1.10 times its pretax price, or 1.10x. The $25 delivery fee is not taxed, so add it after calculating the tax: p(x) = 1.10x + 25. This is choice C.

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