Question

The total cost y of an amusement park membership and the number of months x can be represented with the equation y = 15x + 20. Find

and interpret the rate of change and initial value. The rate of change is so the cost per month is $ . The initial value is .so the initial membership fee is $

Answer 1

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Answer 2

The rate of change in the equation y = 15x + 20 is 15. This means that for every increase of 1 unit in x (1 month), the total cost y will increase by 15. So the cost per month is 15 dollars.

The initial value in the equation y = 15x + 20 is 20. This means that when x = 0 (i.e. no months have passed), the total cost y is equal to 20 dollars. So the initial membership fee is 20 dollars.