AnswersGA-Advanced Algebra Concepts and Connections CRQuadratic in Form Polynomials — Cumulative examQuestion 5
5
RCMultiple Choice

Quadratic in Form Polynomials — Cumulative exam

Question 5 • GA-Advanced Algebra: Concepts and Connections CR

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

Answer
$
$1,400
$
$1,600
$
$1,700
$
$1,800

Explanation

With 7 buses, if all were small, they would hold 7 × 45 = 315 students. Each large bus adds 15 seats, so at least 3 buses must be large to reach 360 students. Using 3 large buses and 4 small buses holds 3 × 60 + 4 × 45 = 360 students and costs 3 × $300 + 4 × $200 = $1,700. Six buses can hold 360 only if all are large, which costs $1,800, so the minimum is $1,700, choice C.

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