We know that a cable television provider charges 75 dollars per installation and 39.96 dollars per month for a basic entertainment package. We can write this as an equation by considering that x will be the number of months. Then, the price per cable television will be equal to the sum of 75 and the product of 39.96 multiplied per x.
Cable Television = 75 + 39.96xOur neighbor subscribes to a cable provider the same month that we subscribe to a satellite provider. A satellite television provider offers us free installation and a charge of 13.32 dollars per month. The equation for the price will be equal to the product of 13.32 multiplied by the number of months.
Satellite Television= 13.32x
We want to find after how many months our neighbor's total will be the same as our total cost if we have three televisions. To do so, we will equate the cost of cable television and the triple of the cost of satellite television. Then, we can use inverse operations to isolate the variable on one side of the equation.
