Question

Two potato farmers, Amos and Calvin, charge differently for delivered produce orders.

Amos charges $22 per box of potatoes without adding a delivery charge. The amount (y), in dollars, Amos charges a customer for x boxes of potatoes is modeled by the following equation.




Calvin charges $16 per box of potatoes and adds a delivery charge of $48. The amount (y), in dollars, Calvin charges a customer for x boxes of potatoes is modeled by the following equation.




How many boxes of potatoes are being delivered by Amos or Calvin when they each charge the same amount for the delivered produce?

Answer 1

Answer: To find when both farmers charge the same amount for delivered produce, we need to set their equations equal to each other:

Amos: y = 22x

Calvin: y = 16x + 48

22x = 16x + 48

6x = 48

x = 8

So Amos and Calvin will charge the same amount when 8 boxes of potatoes are being delivered. To find the amount they will charge, we can substitute x = 8 into either equation:

Amos: y = 22(8) = 176

Calvin: y = 16(8) + 48 = 176

So they will both charge $176 for delivering 8 boxes of potatoes.