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For two months, Martin used the same snow removal company to help clear his property. The company had a fixedreservation rate per month plus an hourly rate for the amount of time that is spent clearing snow. Martin receivedtwo bills from the snow removal company. The first bill was $170 for 3 hours of snow removal and the second billwas $220 for 5 hours of snow removal. Find the equation of the line that represents the snow removal company'sfixed reservation rate and charge per hour. Round to the nearest cent if necessary.

For two months Martin used the same snow removal company to help clear his property The company had a fixedreservation rate per month plus an hourly rate for th class=

Respuesta :

The form of the equation of the line is

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

where m is the slope and b is the y-intercept

In this case we will use

$170 for 3 hours as a point (3,170)

$220 for 5 hours as a pint (5,220)

First, we will use the next formula to find the slope of the line

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case

(3,170)=(x1,y1)

(5,220)=(x2,y2)

we substitute

[tex]m=\frac{220-170}{5-3}=\frac{50}{2}=25[/tex]

Then we calculate the the y-intercept using one point

[tex]170=25(3)+b[/tex][tex]b=170-75=95[/tex]

The equation is

[tex]y=25x+95[/tex]

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