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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 $32.62 , and the cost for using 48 HCF is $78.52 . What is the cost for using 40 HCF of water?

Respuesta :

MrRoyal

The cost for using 40 HCF of water is $67.72

What is the cost for using 40 HCF of water?

To solve this question, we use the following representations

  • x represents HCF
  • y represents the amount

Using the above representations, we have the following points

(x, y) = (14, 32.62), (48, 78.52)

For 40 HCF of water, we have

(x, y) = (40, y)

The slope of a linear equation is calculated using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (78.52 - 32.62)/(48 - 14) = 1.35

m = (78.52 - y)/(48 - 40)

Substitute m = 1.35 in m = (78.52 - y)/(48 - 40)

So, we have:

1.35 = (78.52 - y)/(48 - 40)

Evaluate the difference

1.35 = (78.52 - y)/8

Multiply both sides by 8

10.8 = 78.52 - y

This gives

y = 78.52 - 10.8

Evaluate the difference

y = 67.72

Hence, the cost for using 40 HCF of water is $67.72

Read more about linear equations at:

https://brainly.com/question/1884491

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