Math Problem Statement
Solution
The question asks which inequality can be used to determine the maximum number of people who can go to the amusement park, given that:
- The total budget is no more than $125.
- Parking costs $16.75.
- Tickets cost $20.25 per person (including tax).
Set up the inequality:
The total cost is the sum of parking and the cost for people’s tickets. That is:
Since they can spend no more than $125, the inequality is:
Now, we look at the answer choices. The correct inequality is:
This corresponds to the fourth option in the list.
Let me know if you have questions or need further details.
Here are some related questions for practice:
- How would the inequality change if the parking cost increased to $20?
- What if the group could spend exactly $125 and not a penny more? How would you write that as an equation?
- What is the maximum number of people who can attend the park if the cost stays as described?
- How would you solve for from the inequality ?
- What happens if the cost per person decreases to $18?
Tip: Always identify fixed and variable costs separately when setting up a budget-based inequality.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Budget Constraints
Linear Equations
Formulas
Total Cost = 16.75 + 20.25x
16.75 + 20.25x ≤ 125
Theorems
Properties of Inequalities
Suitable Grade Level
Grades 7-9
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