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?
Supplier B would cost $625 more than supplier A.
Supplier B would cost $600 more than supplier A
Supplier A would cost $875 more than supplier B.
Supplier A would cost $800 more than supplier B.

Respuesta :

Supplier B would cost $600 more than supplier A. Then the correct option is B.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A food production company is choosing between two suppliers of grain.

Let y be the cost and x be the number of bushels.

Supplier A sells grain for $5.25 per bushel plus a delivery fee of $3 per bushel.

y₁ = (5.25 + 3)x

y₁ = 8.25x

Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.

y₂ = 6.5x + 1500

Then the supplier would cost more if the production company bought 500 bushels of grain each week will be

For supplier A, we have

y₁ = 8.25 × 500

y₁ = $ 4125

For supplier B, we have

y₂ = 6.5 × 500 + 1500

y₂ = $ 4750

Then we have

y₂ - y₁ = 4750 - 4125

y₂ - y₁ = $ 625

Then the correct option is B.

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