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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for
each hour of work. Her total fee for a 4-hour job, for instance, is $32.
Let y represent Carolina's fee (in dollars) for a single job that took
hours for her to complete.

Respuesta :

luisejr77

Answer: [tex]y=6t+8[/tex]

Step-by-step explanation:

The missing question is: "Write the function's formula".

The equation of the line in Slope-Intercept form is:

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

Where "m" is the slope of the line and "b" is the y-intercept.

Let be "y" Carolina's fee (in dollars) for a single job, and "x" the number of hours of work to complete the job.

Based on the data given, we can identify that:

[tex]m=6[/tex]

Then, we can write this equation:

[tex]y=6x+b[/tex]

We need to find "b". Since her total fee for a 4-hour job is $32, we have this point on the line:

[tex](4,32)[/tex]

Substitute the coordinates of this point into the equation and solve for "b":

[tex]32=6(4)+b\\\\32-24=b\\\\b=8[/tex]

Then, the function is:

[tex]y=6t+8[/tex]

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