Question

A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $11, and tickets cost $39.25 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.

Answer 1

The inequality to represent the number of people (pp) who can go to the amusement park within a $325 budget, after paying a $11 parking fee, is pp ≤ $314 ÷ $39.25. This takes into account the cost of admission of $39.25 per person.

Step-by-step explanation:

The question asks for an inequality representing pp, the number of people who can go to the amusement park, staying within a budget of $325. First, we must account for the parking fee which is a fixed amount. Afterwards, the remaining budget can be spent on tickets priced at $39.25 per person. The inequality will represent the maximum number of people (pp) that could go to the park without exceeding the budget.

To set up the inequality, subtract the parking fee from the total budget:

Total budget for tickets = $325 - $11 for parking = $314

Now, divide the remaining budget by the cost per ticket to find pp:

$314 ÷ $39.25 per ticket

The resulting number should not exceed the number of friends (pp) who can go:

pp ≤ $314 ÷ $39.25