A group of friends wants to go to the amusement park. They have no more than $295 to spend on parking and admission. Parking is $11.50, and tickets cost $39 per person, including tax. Which inequality can be used to determine xx, the maximum number of people who can go to the amusement park?
Answer
Multiple Choice Answers
295, is less than or equal to, 39, x, plus, 11, point, 5295≤39x+11.5
295, is greater than or equal to, 39, x, plus, 11, point, 5295≥39x+11.5
295, is greater than or equal to, 39, left bracket, x, plus, 11, point, 5, right bracket295≥39(x+11.5)
295, is less than or equal to, 39, left bracket, x, plus, 11, point, 5, right bracket295≤39(x+11.5)
295, is less than or equal to, 39, left bracket, x, plus, 11, point, 5, right bracket
295 ≤ 39(x + 11.5)
The correct answer is:
295, is less than or equal to, 39, x, plus, 11, point, 5
295 ≤ 39x + 11.5
To determine the maximum number of people who can go to the amusement park, we need to consider the total cost of parking and admission.
Let's break it down:
The parking cost is $11.50, which is a fixed price.
The ticket cost is $39 per person, including tax.
If we let x represent the number of people going to the amusement park, then the total cost can be calculated as follows:
Total Cost = Parking Cost + Ticket Cost
Total Cost = $11.50 + ($39 * x)
Now, since the group has no more than $295 to spend, we can set up the inequality:
Total Cost ≤ $295
Substituting the total cost equation into the inequality, we have:
$11.50 + ($39 * x) ≤ $295
Simplifying, we get:
39x + 11.50 ≤ 295
Therefore, the correct inequality to determine the maximum number of people who can go to the amusement park is:
295 ≤ 39x + 11.50
So, the correct answer is:
295, is less than or equal to, 39, x, plus, 11, point, 5
295 ≤ 39x + 11.5