Question

Jay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which function can be used to find the number of rides he went on?

a) f(x) = 10.5x + 4.5
b) f(x) = 4.5x + 10.5
c) f(x) = 14x - 10.5
d) f(x) = 10.5x - 4.5

Answer 1

The correct function to find the number of rides Jay went on is f(x) = 10.5x + 4.5. It multiplies the number of rides by the cost per ride and adds the entrance fee to find the total amount spent on rides.

Step-by-step explanation:

The correct function to find the number of rides Jay went on is f(x) = 10.5x + 4.5 (option a).

In this function, x represents the number of rides Jay went on and f(x) represents the total amount spent on rides. The entrance fee of $10.50 is represented by the constant 10.5, and the cost of each ride is $4.50, which is represented by the constant 4.5.

The function multiplies the number of rides by the cost per ride and adds the entrance fee to find the total amount spent on rides.

For example, if Jay went on 5 rides, the function would be f(5) = 10.5(5) + 4.5 = 59. With this function, we can calculate the total amount spent on rides given the number of rides Jay went on.