Answered

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Part A: A landscape service charges costumers a one-time fee and an hourly rate of $15. For 3 hours of work m, it charges $75 Write the equation in point-slope formHow much does the landscape service charge for 20 hours

Sagot :

The hourly rate is the slope m, and we're given the point (3,75)

Now, using the point-slope form:

[tex]y-75=15(x-3)[/tex]

Now, let's put it in the slope-intercept form (clear y):

[tex]\begin{gathered} y-75=15x-45 \\ \rightarrow y=15x+30 \end{gathered}[/tex]

For 20 hours of service,

[tex]\begin{gathered} y=15(20)+30 \\ \rightarrow y=330 \end{gathered}[/tex]

The service would charge $330

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