4
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 4 • Algebra 2 with Probability

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 dollars for the day. The small buses hold 45 students each and have an operating expense of 200 dollars 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
A
1 dollars comma 600
B
1 dollars comma 400
C
1 dollars comma 800
D
1 dollars comma 700

Explanation

Seven buses can carry at least 360 students only if at least 3 are large: with 3 large and 4 small, capacity is 3 × 60 + 4 × 45 = 360. That arrangement costs 3 × $300 + 4 × $200 = $1,700. Using fewer than seven buses cannot be cheaper while meeting the capacity requirement: six buses would need to all be large to carry 360 students, costing $1,800. So the minimum is choice D, $1,700.

AI-written and checked against the verified answer.

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