The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?

$40.93

Step-by-step explanation:

Linear function of:

To find:

Linear equation in slope-intercept form:

We have points of: (14, 32.68), (52, 95.38):

Using the points we can find the value of m and b:

Then finding b:

So the function is:

Then y(19) is found as:

Cost of 19 HCF of water is $40.93

b.-4 units

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