Question

A cable company offers premium internet service for $69 plus an initial set up cost. The total cost for set up and 6 months of service is $466.00 Model the cost of using their services over time with an algebraic equation. What are the variables?

Answer 1

To model the cost of using the cable company's services over time with an algebraic equation, we can use variables to represent the unknowns. The equation would be x + 414 = 466, where x represents the initial set up cost. Solving the equation, we find that the initial set up cost is 52 dollars.

Step-by-step explanation:

To model the cost of using the cable company's services over time with an algebraic equation, we can use variables to represent the unknowns. Let's denote the initial set up cost as x dollars. The premium internet service cost is $69, so the cost of 6 months of service is 6 times $69, which is 6*69 = $414. Therefore, the total cost can be represented as x + 414. The equation would be:

x + 414 = 466

To solve for the initial set up cost x, we can subtract 414 from both sides of the equation:

x + 414 - 414 = 466 - 414

x = 52