Question

The function C(x) = 29x + 54.5 represents the cost (in dollars) of cable for x months, including $54.50 installation fee. How many months of cable service can you have for $344.50?
$c(x) = 29x + 54.5$

Answer 1

Hey there!!

Given equation :

... c(x) = 29x + 54.5

In this equation $54.50 is installation fee and this would remain as a constant. ( This value wouldn't change ).

'x' is represented as the number of months.

The total cost or c(x) is given as $344.50

Getting this into equations :

... 344.50 = 29x + 54.5

Subtracting 54.5 on both sides :

... 29x = 290

Dividing by 29 on both sides :

... x = 10

Hence, the number of months is 10.

Hope my answer helps!!