Question

I need help please ! :)

Answer 1

The equation $y = 72.99+28.45(x-1)$ 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 = $101.44-72.99 =$ $28.45.

The difference between the second and the third month = $129.89-101.44 =$ $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 $y = 72.99+28.45(x-1)$ where x is the month in which we are calculating that months charges y.

If x = 1, $y = 72.99+28.45(x-1) = 72.99+28.45(0-0) = 72.99.$

if x = 2, $y = 72.99+28.45(x-1) = 72.99 + 28.45(1) = 101.44.$

If x = 3, $y = 72.99+28.45(3-1) = 72.99+28.45(2) = 129.89.$

So the situation is represented by that formula.