8
QuizMultiple Choice

Inequalities in the Real World — Quiz

Question 8 • Grade 7 Mathematics

Pat’s Pizza Place sells large pies for $12 with a charge of $2 for each topping. If Reagan only has a $20 bill to spend on a pizza, which graph best represents the number of toppings she can afford to add to her pie?

Answer
A
Image with description A number line ranges from 3 to 7 by one halves. Only whole numbers are labeled. A closed circle is on 6. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from 3 to 7 by one halves. Only whole numbers are labeled. A closed circle is on 6. A ray is drawn from that circle pointing to the left.
C
Image with description A number line ranges from 3 to 7 by one halves. Only whole numbers are labeled. A closed circle is on 4. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from 3 to 7 by one halves. Only whole numbers are labeled. A closed circle is on 4. A ray is drawn from that circle pointing to the right.

Explanation

Let t be the number of toppings. The pie costs $12, leaving Reagan $20 − $12 = $8 for toppings; at $2 each, she can afford at most 8 ÷ 2 = 4 toppings. Since 4 is affordable, the graph has a closed circle at 4, and the ray points left to show values up to 4. This is choice C.

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