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:

 0.4x+3.9>0.359x+12.5  x>12.53.90.40.359 x>209.8 m3 \ \\ 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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Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Thomas
Your Website is very helpful, but why is it called "hackmath.net"

#
Dr Math
we think that maybe "hacking mathematics" or "play with mathematics". All relevant domains is occupied.

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