Problema Solution

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.75.

If the monthly cost for 12 HCF is $27.44, what is the monthly cost for 8 HCF?

Answer provided by our tutors

Slope is given as 1.75.

And monthly cost for 12 HCF is $27.44.

Let b is the y-intercept.

m=slope of the line.

So, y=mx+b

27.44=1.75*12+b

27.44=21+b

b=27.44-21

b=6.44

Cost of 8 HCF= 1.75*8+6.44=14+6.44=20.44

Cost of 8 HCF=$20.44