Question

The function C(x) = 29x + 54.5 represents the cost (in dollars) of cable for x months, including the 54.50 installation fee.

A. How much would you have spent on cable after 6 months?

B. How many months of cabel service can you have for 344.50?

Answer 1

Explanation:

Answer is already explained

Answer 2

A) You'd spent $228.5 on cable after 6 months

B) 10 months

Explanation:

For A)

Since x represents the number of months "you" spend on cable, "6 months" would means x = 6. So plug x = 6 into the function and you get:

C(6) = 29(6) + 54.5

C(6) = 228.5

Add the dollar sign and you're good! :)

For B)

C(x) is the total cost you have to pay for cable after (x) months. Since the question gives you 344.50, you can just plug that in place of C(x) in the function

So:

C(x) = 29x + 54.5

344.5 = 29x + 54.5

(344.5 - 54.5) = 29x

290 = 29x

x = 10 (months)