Question

nequalities in One Variable
Suppose the price of admission to the state fair is $9.50, and each ride costs an additional $2.25.
Question 1


Karen is going to the state fair. If she can spend at most $50, which inequality can be used to solve for r, the number of rides Karen can go on?

Responses
A 9.50 + 2.25r ≥ 509.50 + 2.25r ≥ 50
B 9.50r + 2.25 ≥ 509.50r + 2.25 ≥ 50
C 9.50 + 2.25r ≤ 509.50 + 2.25r ≤ 50
D 9.50r + 2.25 ≤ 509.50r + 2.25 ≤ 50
Question 2
What is the maximum number of rides Karen can go on?
Responses
A 1414
B 1616
C 1818
D 2020
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Answer 1

Question 1: C. 9.50 + 2.25r ≤ 50

Question 2: C. 18

Work: 9.50 + 2.25r ≤ 50 → 2.25r ≤ 40.50 → r ≤ 40.50/2.25 = 18, so at most 18 rides.