12
QuizMultiple Choice

Unit Test — Unit test

Question 12 • TX-College Prep Math A

The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club.Price of Ink at Shopping ClubNumber of ink cartridges purchasedTotal cost for members(with membership fee)Total cost for nonmembers0$3001$40$252$50$503$60$75Which statement is supported by the table?

Answer
A
The relationship between the number of cartridges purchased and the total cost is proportional for nonmembers but not for members.
B
The relationship between the number of cartridges purchased and the total cost is proportional for members but not for nonmembers.
C
The relationship between the number of cartridges purchased and the total cost is proportional for neither members nor nonmembers.
D
The relationship between the number of cartridges purchased and the total cost is proportional for both members and nonmembers.

Explanation

A proportional relationship must have a total cost of $0 when zero cartridges are purchased, and the cost per cartridge must stay constant. For nonmembers, the totals are $0, $25, $50, and $75, which is $25 per cartridge. Members have a $30 cost even when they buy zero cartridges, so their relationship is not proportional.

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