he monthly cost for household water is computed based on the amount of water used in thousand gallons: kgals. A local water company charges a monthly service fee of $20 and then charges $1.25 for each kgal of water used up to 10 kgals. To discourage excessive use, each kgal of water beyond 10 kgals is charged at rate of $2.75 per kgal.  a) Write a piecewise defined function for the monthly cost of household water, C, in terms of the amount of water used, x kgal.  b) Using your model, determine the monthly water bill if 9 kgals of water is used by a household. c) Using your model, determine the monthly water bill if 14 kgals of water is used by a household. d) If a monthly water bill was $75, how much water did this household use (according to your model)? Be precise! Your answer should be accurate to 3 decimal places

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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The monthly cost for household water is computed based on the amount of water used in thousand gallons: kgals. A local water company charges a monthly service fee of $20 and then charges $1.25 for each kgal of water used up to 10 kgals. To discourage excessive use, each kgal of water beyond 10 kgals is charged at rate of $2.75 per kgal. 

a) Write a piecewise defined function for the monthly cost of household water, C, in terms of the amount of water used, x kgal. 

b) Using your model, determine the monthly water bill if 9 kgals of water is used by a household.

c) Using your model, determine the monthly water bill if 14 kgals of water is used by a household.

d) If a monthly water bill was $75, how much water did this household use (according to your model)? Be precise! Your answer should be accurate to 3 decimal places. 

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