The inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2 is 24 < 0.04x + 17 and the number of calls will be 175.
It should be noted that from the information, the telephone company offers two billing plans for local calls. Plan 1 charges $24 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
Let x = number of calls per month
Therefore, option 1 is more economical when 24 < 0.04x + 17
Solve for x.
This will be:
24 < 0.04x + 17
24 - 17 < 0.04x
-7 < 0.04x
x = 7/0.04
x = 175
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Complete question:
The telephone company offers two billing plans for local calls. Plan 1 charges $24 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
The telephone company offers two billing plans for local calls. Plan 1 charges $24 per month for unlimited calls and Plan 2 charges $17 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.