The equation [tex]y = 72.99+28.45(x-1)[/tex] where y is the cost in month x. This equation represents the situation.
Step-by-step explanation:
Step 1:
The service charges for the first month = $72.99,
The service charges for the second month = $101.44, and
The service charges for the third month = $129.89.
The difference between the first and the second month = [tex]101.44-72.99 =[/tex] $28.45.
The difference between the second and the third month = [tex]129.89-101.44 =[/tex] $28.45.
So for every consecutive month, the service charges increase by $28.45.
Step 2:
The service charges are always added on to the first month's charges i.e. $72.99.
So the equation to represent the situation is [tex]y = 72.99+28.45(x-1)[/tex] where x is the month in which we are calculating that months charges y.
If x = 1, [tex]y = 72.99+28.45(x-1) = 72.99+28.45(0-0) = 72.99.[/tex]
if x = 2, [tex]y = 72.99+28.45(x-1) = 72.99 + 28.45(1) = 101.44.[/tex]
If x = 3, [tex]y = 72.99+28.45(3-1) = 72.99+28.45(2) = 129.89.[/tex]
So the situation is represented by that formula.
