Question

100 points HELP!

A group of friends want to go to the amusement park. They have $416.75 to spend on parking and admission. Parking is $15.25, and tickets cost $36.50 per person including tax. Which equation could be used to determine x, the number of people who can go to the amusement park

A. 36.5 (15.25 + x) = 416.75
B. 416.75 = 36.5x + 15.25
C. 15.25x = 416.75 - 36.5
C. 15.25x + 36.5 = 416.75

Answer 1

B. 416.75 = 36.5x + 15.25. The equation to determine the number of people who can go to the amusement park with $416.75 for parking and admission is 416.75 = 36.5x + 15.25, where x represents the number of people.

Step-by-step explanation:

To determine the number of people, x, who can go to the amusement park with a budget of $416.75 for parking and admission, we need to create an equation that represents the total expenses. Since parking is a fixed cost of $15.25 and the tickets are $36.50 per person, the total cost (TC) would be the sum of the parking fee and the product of the number of tickets and the price per ticket.

The correct equation that represents this scenario is:

B. 416.75 = 36.5x + 15.25

This equation reflects that the total amount of money available, $416.75, is equal to the cost of parking, $15.25, plus the cost of x amount of tickets at $36.50 each.