A Jasmine Pabon K X M Mathway l Math Problem X httpswwwawd i

A Jasmine Pabon K.. X M Mathway l Math Problem X https/www-awd. itzs8 e search E nowledge Check Question 19 suppose that a household\'s monthly water ba din dollars) is a linear function of hundreds of cubic feet, HCF). when graphed, the the amount of water the household uses (n function gives a ane with a slope of 1.35. see the figure below. if the monthly cost for 13 HCF is $44.26, what is the monthly cost for 10 HCF? Monthly cost (n dollars) 13 Water usage in HCF) I Don\'t Know Ask me anything

Solution

The monthly water bill for the household is a linear function of the quantity (in HCF) of water that the household uses. Also, the slope of the linear function is 1.35 so that the equation of the linear function is y = 1.35x + c, where c is an arbitrary real number, x is the quantity (in HCF) of water used, and y is the monthly water bill for the household in Dollars . Since the monthly cost of 13CF is $ 44.26, on substituting x = 13 and y = 44.26 in the equation, we get 44.26= 1.35*13 +c or, c = 44.26 – 17.55 = 26.71. Then the equation of the linear function changes to y = 1.35x +26.71. Now, when x = 10, we have y = 1.35*10+26.71 = 13.5+26.71 = 40.21. Thus, the monthly cost of 10HCF is $ 40.21.