Suppose the price of admission to the state fair is $9.50, and each ride costs an

Question

additional $2.25.
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?
a) 9.50 + 2.25r ≤ 50
b) 9.50r + 2.25 ≥ 50
c) 9.50 + 2.25r ≥ 50
d) 9.50r + 2.25 ≤ 50

Answer 1

To find the correct inequality for the total amount Karen can spend, we begin by breaking down her expenses.

The cost of admission to the state fair is $9.50, and each ride costs an additional $2.25.

If \( r \) represents the number of rides Karen goes on, her total cost can be expressed as:

\[ \text{Total Cost} = \text{Cost of Admission} + \text{Cost of Rides} = 9.50 + 2.25r \]

Karen wants her total spending to be at most $50. Therefore, we need to set up the inequality:

\[ 9.50 + 2.25r \leq 50 \]

This corresponds to option (a).

Thus, the correct answer is:

a) \( 9.50 + 2.25r \leq 50 \)