Question

Your friend uses the equation C = 45P to find the total cost, C, for the number of people, P, entering a local amusement park.

a) Is the cost of admission proportional to the number of people entering the amusement park? Explain why or why not.

Answer 1

The cost of admission is proportional to the number of people entering the amusement park, with the proportional factor being 45 according to the equation C = 45P.

Step-by-step explanation:

The equation C = 45P indicates that the total cost C is directly proportional to the number of people P entering the amusement park. This means that the cost of admission is directly related to the number of people in proportion to the factor of 45. Simply put, for every additional person, the cost increases by 45 units of currency. Therefore, the relationship between cost and number of people is a proportional one.