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Question:

The cost to enter an amusement park is $15. If each ride costs an additional $2.50, the horizontal axis represents the number of rides ridden, and the vertical axis represents the cost, which of the graphs correctly represents the cost function of a trip to the amusement park?

A A
Explaination

If 0 rides are ridden, the total cost is 15. As a result, the y-intercept must be 15. The cost per ride is 2.50, so the slope of the line is 2.5. If 10 rides are ridden, the total cost is 2.5(10) + 15 = 40, which matches graph A.