9
QuizMultiple Choice

Writing Two-Variable Linear Equations

Question 9 • 26/27 ALGEBRA II A

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a delivery fee of $3 per bushel. Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week. Which supplier would cost more if the production company bought 500 bushels of grain each week?

Answer
A
Supplier B would cost $625 more than supplier A.
B
Supplier B would cost $600 more than supplier A
C
Supplier A would cost $875 more than supplier B.
D
Supplier A would cost $800 more than supplier B.

Explanation

Supplier A costs $5.25 + $3.00 = $8.25 per bushel, so 500 bushels cost $8.25 × 500 = $4,125. Supplier B costs $6.50 × 500 = $3,250 for the grain, plus the $1,500 weekly delivery fee, for a total of $4,750. Supplier B costs $4,750 − $4,125 = $625 more, so the correct choice is A: Supplier B would cost $625 more than supplier A.

AI-written and checked against the verified answer.

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