Question

You are planning a trip to an amusement park with a new water slide. It costs $25 for admittance to the park, plus $5 each time you ride the new water slide. Let w represent the number of times you go down the slide and c represent the total cost in dollars. Write the amount that you will spend as a function of the number of times you ride the new water slide. What is the total cost if you go down the slide 6 times?

A c = 15w + 3; $73.00
B c = 25w + 3w; $108.00
C c = 6w + 25; $51.00
D c = 5w + 25; $55.00

Answer 1

The correct formula for the total cost of the trip to the amusement park is c = 5w + 25, where 'c' is the total cost and 'w' is the number of water slide rides. For 6 rides, the total cost is $55.00, making answer D correct.

Step-by-step explanation:

The cost of the amusement park trip as a function of the number of times you ride the water slide is represented by c = 5w + 25, where w represents the number of water slide rides and c represents the total cost. If you go down the slide 6 times, the total cost can be calculated by substituting 6 for w in the equation:

c = 5(6) + 25 = 30 + 25 = 55.

Therefore, the correct answer is D, which states that the cost function is c = 5w + 25 and the total cost for 6 rides is $55.00.