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AssignmentMultiple Choice

Problem Solving with Systems

Question 2 • GA-8th Grade Mathematics-B CCSS 23-24 GL

Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y. He lets y represent the total cost of an order. What will x represent?

Answer
A
x = total cost of an order
B
x = total cost of an order
C
x = shipping costs for company B
D
x = shipping costs for company B
E
x = shipping costs for company A
F
x = shipping costs for company A
G
x = number of hats
H
x = number of hats

Explanation

Since y represents the total cost, x should represent the quantity that changes from order to order: the number of hats. The costs can then be written as y = 11x + 7 for Company A and y = 8x + 16 for Company B. Choice G says “x = number of hats.”

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