Final answer:
Option B). To find out how many rides you can go on with a budget of less than $30, set up the inequality 15 + 0.50r < 30, where r is the number of ride tickets.
Step-by-step explanation:
To find out how many rides you can go on with a budget of less than $30, we need to set up an inequality. Let r represent the number of ride tickets. The cost of administration is $15 and each ride ticket costs 50 cents. So the total cost is 15 + 0.50r. We want this to be less than 30, so we can write the inequality as: 15 + 0.50r < 30. Now we can solve it:
Subtract 15 from both sides: 0.50r < 30 - 15
Combine like terms: 0.50r < 15
Divide both sides by 0.50: r < 15 ÷ 0.50
Simplify: r < 30
So, you can go on less than 30 rides with a budget of $30.