A group of friends wants to go to the amusement park. They have no more than $480 to spend on parking and admission. Parking is $8.75, and tickets cost $15.50 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer
Multiple Choice Answers
480, is less than or equal to, 15, point, 5, left bracket, p, plus, 8, point, 7, 5, right bracket480≤15.5(p+8.75)
480, is greater than or equal to, 15, point, 5, p, plus, 8, point, 7, 5480≥15.5p+8.75
480, is less than or equal to, 15, point, 5, p, plus, 8, point, 7, 5480≤15.5p+8.75
480, is greater than or equal to, 15, point, 5, left bracket, p, plus, 8, point, 7, 5, right bracket480≥15.5(p+8.75)
The correct inequality is 480 ≤ 15.5p + 8.75.
The correct inequality to determine the maximum number of people who can go to the amusement park is: 480≥15.5p+8.75
To determine the maximum number of people who can go to the amusement park, we need to calculate the total cost of parking and admission and compare it to the available budget of $480.
Let's break down the cost:
1. The cost of parking per group is $8.75.
2. The cost of admission per person is $15.50, including tax.
To calculate the total cost, we need to sum the parking cost and the admission cost multiplied by the number of people (p):
Total Cost = Parking Cost + Admission Cost
The parking cost is a fixed amount, so it remains the same regardless of the number of people:
Parking Cost = $8.75
The admission cost depends on the number of people:
Admission Cost = $15.50 * p
Now we can find the inequality to determine the maximum number of people who can go to the amusement park:
Total Cost ≤ Budget
Replacing the total cost and budget with the calculated values we have:
$8.75 + ($15.50 * p) ≤ $480
Simplifying the inequality:
8.75 + 15.50p ≤ 480
Now we can look at the given answer choices to find the correct inequality. Comparing the inequalities provided, we see that the correct inequality is:
480 ≤ 15.5p + 8.75
Therefore, the maximum number of people who can go to the amusement park is determined by this inequality.