Linear Functions

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 two years of

service?

Answer 1

Hi, Hannah.

So, linear functions can be written in y = mx + b form.

Since this subscription has an activation fee, the cost will be this activation fee plus the monthly subscription fee.

Therefore, you can write the equation for this cost as:

C = 125t + 60

Here, the total cost (C) is calculated using the activation fee ($60) plus the monthly fee ($125) times the number of months(t)

Therefore, the cost for 2 years will be calculated using t = 24 months

C = 125(24) + 60 = 3000 + 60 = $3,060