Question

For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for 2 years of service?

Answer 1

The linear function representing the television subscription cost over time is C(t) = 60 + 125t, where t is the number of months. For 2 years or 24 months of service, the total cost would be $4060.

Step-by-step explanation:

The linear function representing the total cost of a basic cable subscription for t months includes an activation fee and a monthly charge.

The total cost, C(t), for t months can be represented by the equation C(t) = 60 + 125t, where 60 is the activation fee and 125 is the monthly charge for the basic subscription.

For 2 years of service, we calculate the total cost by plugging in t = 24 (since 2 years equal 24 months) into the equation:

C(24) = 60 + 125(24)

= 60 + 3000

= $4060

Thus, the total cost for 2 years of service is $4060.