Question

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The telephone company offers two billing plans for local calls. Plan 1 charges $25 per month for unlimited calls and Plan 2 charges $15 per month plus $0.04 per
call
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan

b. Explain the meaning of the answer to part a.

a. Let x represent the number of monthly calls. The answer is {x l }
(Type an inequality.)​

Answer 1

Answer:

Step-by-step explanation:

Let x represent the number of calls made with plan 1 in a month.

Let y represent the number of calls made with plan 2 in a month.

Plan 1 charges $25 per month for unlimited calls. This means that the total cost of x calls made with plan 1 in a month would be $25

Plan 2 charges $15 per month plus $0.04 per call. This means that the total cost of x calls made with plan 1 in a month would be

15 + 0.04x

a) for the number of calls for which Plan 1 is more economical than Plan B, it becomes

25 < 15 + 0.04x

25 - 15 < 0.04x

10 < 0.04x

0.04x > 10

x > 10/0.04

x > 250

b) plan 1 would be more economical when the calls per month exceed 250.