SOLUTION: In May 2003, a gas company had the given rate schedule for natural gas usage in single-family residences.
Monthly service charge- 10.25
1st 60 therms- 0.24228/therm
Therms over
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-> SOLUTION: In May 2003, a gas company had the given rate schedule for natural gas usage in single-family residences.
Monthly service charge- 10.25
1st 60 therms- 0.24228/therm
Therms over
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Question 862065: In May 2003, a gas company had the given rate schedule for natural gas usage in single-family residences.
Monthly service charge- 10.25
1st 60 therms- 0.24228/therm
Therms over 60- 0.23599/therm
Gas Charge- 0.267/therm.
Construct a function that relates the monthly charge C for x therms of gas. There are two pieces of the function: one that represents the total cost when 60 therms or fewer are used, and one that represents the total cost when more than 60 therms are used.
First piece of the function, let x be the total number of therms used, and then add together all the constant charges. What does the first piece of the function look like?
C= 10.25+0.24228x+0.2627x=10.25+.50498 for 0
Using the same method, find the second piece of the function. Recall that the “Therms over 60” service charge needs to be added, which represents the cost of the additional therms over 60.
What does the second function look like?
C= 10.63+.49869x for x>60.
My question is what do you calculate to get 10.63?
You can put this solution on YOUR website! For therms up to 60, the function based on the listing of charges is
The information about "Gas charge" does not indicate if it is for more or less than 60 therms, so my best interpretation is to include it in both function branches.
For more than 60 therms, the function must be,
None of the information in the description gives any justification for a term of 10.63 in the second branch of the function.
FURTHER THOUGHT: For OVER 60 therms, you would have 60 therms plus x-60 therms.
This may mean charge of
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Note that , which is to the nearest hundredths place, .
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