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An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. Let C represent the total cost of the visit whenthe electrician spends t hours at the house working. The table below has select valuesshowing the linear relationship between t and C. Determine the set fee for the housecall.t C2 2505 4306.5 520

An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes Let C represent the total cost of the v class=

Respuesta :

Start by finding the slope, which will be the hourly rate the electrician charges using the formula

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

use points (2,250) and (5,430)

replace in the formula

[tex]\begin{gathered} m=\frac{430-250}{5-2} \\ m=\frac{180}{3} \\ m=60 \end{gathered}[/tex]

now, use of the points to find the set fee using

[tex]\begin{gathered} C=mt+b \\ C=60t+b \end{gathered}[/tex]

use point (6.5,520)

[tex]\begin{gathered} 520=60\cdot(6.5)+b \\ 520-390=b \\ 130=b \end{gathered}[/tex]

The set fee is $130

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