Question

The telephone company offers two billing plans for local calls. Plan 1 charges ​$24 per month for unlimited calls and Plan 2 charges ​$16 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.

Answer 1

Answer:

more than 200 calls

Explanation:

Suppose number of calls = x

According to plan 1: Total monthly charge is $24

According to plan 2: Fix charge is $16 and $0.04 per call

cost of x's call = $0.04x

and monthly charge according to plan 2 = 0.04x + 16

a)  Plan 1 is more economical than plan 2.

0.04x + 16 > 24

solve it for x

.04x > 8

x > 200

b)   So,  if more than 200 calls are made then Plan 1 is more economical.

Answer 2

The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls

If more than 200 calls are made, the plan 1 charge will be more than plan 2.

Let the number of charges per month be x

• If plan 2 charges ​$16 per month plus ​$0.04 per call, this is expressed as 0.04x + 16

• Price that pan 1 charges = $24

• If Plan 1 is more economical than Plan 2, this is expressed as:

0.04x + 16 > 24

Subtract 16 from both sides:

0.04x + 16 - 16 > 24 - 16

0.04x > 8

x = 6/0.04

x = 200

This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.

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