AnswersWI-Mathematics Grade 8 AGraphing in a Variety of Contexts — Unit testQuestion 26
26
QuizMultiple Choice

Graphing in a Variety of Contexts — Unit test

Question 26 • WI-Mathematics Grade 8 A

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?

Answer
n
neither Grace nor Roger
o
only Grace
o
only Roger
b
both Grace and Roger

Explanation

Without a membership, Roger’s 6 tickets cost 6 × $38 = $228. With a membership, he pays $80 + (6 × $20) = $200, saving $28. Grace’s 4 tickets cost $152 without a membership and $160 with one, so she would not save money. Therefore, only Roger benefits from buying a membership.

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