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). Whengraphed, the function gives a line with a slope of 1.65. See the figure below.If the monthly cost for 16 HCF is $49.67, what is the monthly cost for 11 HCF?

Respuesta :

Given:

The function gives a line with a slope of 1.65.

The monthly cost for 16 HCF is $49.67.

Required:

To find the monthly cost for 11 HCF.

Explanation:

The slope-intercept form of line is

[tex]y=mx+b[/tex]

We know the slope is 1.65.

And since 16 HCF costs $49.67, we have a point on the line. (16, 49.67)

Plugging this information into our equation, we get:

[tex]\begin{gathered} 49.67=1.65(16)+b \\ \\ b=49.67-26.4 \\ \\ b=23.27 \end{gathered}[/tex]

Now

[tex]y=1.65x+23.27[/tex]

If we want to know how much 11 HCF costs, we just have to plug that into our equation as the x-value.

[tex]\begin{gathered} y=1.65(11)+23.27 \\ \\ y=18.15+23.27 \\ \\ y=41.42 \end{gathered}[/tex]

Final Answer:

The monthly cost for 11 HCF is $41.42

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