Call Me Maybe is a cell phone provider that charges by the month. The first month of service costs $75.45. The total charges after the second month of service are $95.36, and after the third month of service, it’s $115.27.
Write an equation in the form of y = c + d(x−1) to represent this situation. Explain your answer.
Write an equation in the form of y = c + d(x−1) to represent this situation.
y = 75.45 + d(x-1)
Explanation:
The initial cost is $75.45, which is represented by the constant c in the equation. The variable x represents the number of months of service, and since the first month has already been accounted for, we subtract 1 from x-1. This leaves us with (x-1) representing the number of months of service beyond the first month. The rate, or increase in cost per month, is represented by the variable d. Therefore, the equation y = 75.45 + d(x-1) accurately represents the situation described.