3
RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 3 • Algebra 2-2nd Semester-CR (KCKPS 02101040)

A profit formula for a single tire can be modeled by the function P(t) = –18t2 + 850t – 725. Each set of tires can be modeled by the function t(s) = 4s. Which composite function can be used to determine the profit function in terms of the number of sets of tires?

Answer
A
P(t(s)) = –288s2 + 3,400s – 725
B
P(t(s)) = –288s2 + 13,600s – 725
C
P(t(s)) = –72s2 + 3,400s – 2,900
D
P(t(s)) = –72s2 + 13,600s – 2,900

Explanation

Substitute t = 4s into the tire profit function: P(4s) = −18(4s)² + 850(4s) − 725. Since (4s)² = 16s², this simplifies to −288s² + 3,400s − 725. Therefore, choice A gives the profit in terms of the number of sets of tires.

AI-written and checked against the verified answer.

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