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A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.15
for each minute of calls. Plan B has no initial fee but costs $0.20 for each minute of calls.
For what amount of calling do the two plans cost the same?
What is the cost when the two plans cost the same?
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Plan A cost is A(m) = 23 + 0.15m dollars, where m represents minutes.
Plan B cost is B(m) = 0.20m dollars, where m represents minutes.
The cost is the same when A(m) = B(m), or
23 + 0.15m = 0.20m dollars.
From this equation find m
23 = 0.20m - 0.15m
23 = 0.05m
m = = 460 minutes.
hus the cost of planes A and B is the same at m - 460 minutes. ANSWER
This cost is 0.2*460 = 92 dollars. ANSWER
Solved, with complete explanations.