Question

Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How much will it cost if she used her cell phone for 480 minutes in one month? ...?

Answer 1

The answer is $84.29

Let the number of minutes be x.
$35.99 is fixed price and does not depend on the number of minutes x. Each minute costs $0.21 so it depends on x and we have 0.21x in the function. However, 250 minutes are already included and should not be included in x. Therefore, the function that represents the monthly cost looks like this:
f(x) = 35.99 + 0.21 * (x - 250)

Now, let's calculate for x = 480 minutes:
f(480) = 35.99 + 0.21 * (480 - 250)
f(480) = 35.99 + 0.21 * 230
f(480) = 35.99 + 48.30
f(480) = 84.29