Final answer:
The function representing the cost of entrance and rides at an amusement park is C(r) = 25 + 3.50r, where C(r) is the total cost and r is the number of rides. For 8 rides, the total cost would be 53.00.
Step-by-step explanation:
To create a function that represents the cost of going to the amusement park and riding a certain number of rides, we need to account for the fixed entrance fee and the variable cost per ride. The entrance fee is a one-time charge, while the cost per ride is multiplied by the number of rides.
The function can be written as:
C(r) = 25 + 3.50r
Where C(r) is the total cost (in dollars) and r is the number of rides.
To find out the total cost for 8 rides, we substitute r with 8:
C(8) = 25 + 3.50 × 8
C(8) = 25 + 28
C(8) = 53.00
So, it would cost 53.00 to go to the park and ride 8 rides.