# Rates

When gas consumption, the consumer may choose one of two rates:
1. rate A - which pays 0.4 € per 1 m3 of gas a flat monthly fee of 3.9 € (regardless of consumption)
2. rate B - which pays 0.359 € per 1 m3 of gas a flat monthly fee of 12.5 €

From what monthly consumption is more convenient for the customer rate B?

Correct result:

x =  209.8 m3

#### Solution:

$\ \\ 0.4 x + 3.9 > 0.359 x + 12.5 \ \\ \ \\ x > \dfrac{ 12.5-3.9 } { 0.4-0.359 } \ \\ x > 209.8 \ \text{m}^3$

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Dr Math
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