Question

a phone company charges $0.09 per minute plus a flat $32 montly fee susan used her phone for 210 minutes in may and 190 minutes in June what is the function?

Answer 1

The phone service cost function is C(m) = 0.09m + 32, differing for Susan's usage in May and June, with total costs of $50.90 and $49.10, respectively.

Step-by-step explanation:

The question asks us to find the function that represents the cost of using a phone service that charges a flat monthly fee plus a per-minute charge for Susan's phone usage.

The phone company charges $0.09 per minute and a flat $32 monthly fee. To write the function, we take into account both the per-minute charge and the flat fee.

The function C(m), where C is the total cost and m is the number of minutes used, can be written as:

C(m) = 0.09m + 32

This function shows that for each minute, Susan is charged an additional $0.09 on top of the flat $32 monthly fee.

For May, with 210 minutes, the total cost would be:

C(210) = 0.09(210) + 32 = $18.90 + $32 = $50.90

For June, with 190 minutes, the total cost would be:

C(190) = 0.09(190) + 32 = $17.10 + $32 = $49.10