Question

the telephone company offers two billing plans for local calls. plan 1 charges $27 per month for unlimited calls and plan 2 charges $14 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 2
b. explain the meaning of the answer to part a.
a. let x represent the number of monthly calls. the answer is □
(type an inequality.)

Explanation:

Step1: Set up the inequality

Let \(x\) be the number of monthly calls.
The cost of Plan 1 is \(C_1 = 27\).
The cost of Plan 2 is \(C_2=14 + 0.04x\).
We want to find when \(C_1

Step2: Solve the inequality for \(x\)

Subtract 14 from both sides:
\(27-14<14 + 0.04x-14\)
\(13<0.04x\).
Divide both sides by 0.04:
\(x>\frac{13}{0.04}\)
\(x > 325\).

Answer:

\(x>325\)