5
QuizMultiple Choice

Composition of Functions and Modeling — Quiz

Question 5 • Precalculus

Anthony sells cars. Each month, he is paid 2 dollars comma 000 , plus a 15 percent commission on monthly sales above 20 dollars comma 000 Which function calculates his monthly earnings cap e as a function of m , his monthly sales?

Answer
A
cap e times m is equal to 2 comma 000 plus 0 point 1 5 times open paren m plus 20 comma 000 close paren
B
cap e times m is equal to 2 comma 000 plus 0 point 1 5 times open paren m minus 20 comma 000 close paren

Explanation

Anthony earns a base salary of $2,000, then receives 15% commission only on the amount of sales above $20,000. The amount above $20,000 is m − 20,000, so his earnings are e(m) = 2,000 + 0.15(m − 20,000). Choice B matches this rule; choice A incorrectly applies commission to sales plus $20,000.

AI-written and checked against the verified answer.

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