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Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 555-hour job, for instance, is \$42$42dollar sign, 42. Her fee for a 333-hour job is \$28$28dollar sign, 28.

Respuesta :

MrRoyal

Answer:

Base Fee = $7

Extra charges = $7

Step-by-step explanation:

Represent the base charge with x and the additiional charges with y.

For the 5 hours job, we have:

[tex]42 = x + 5y[/tex]

For the 3 hour job

[tex]28 = x + 3y[/tex]

Solving for x and y;

[tex]42 = x + 5y[/tex]

[tex]28 = x + 3y[/tex]

Subtract the second equation from the first

[tex]42 - 28 = x - x + 5y - 3y[/tex]

[tex]14 = 2y[/tex]

Solve for y

[tex]y = 14/2[/tex]

[tex]y = 7[/tex]

Substitute 7 for y n the first equation

[tex]42 = x + 5y[/tex]

[tex]42 = x + 5 * 7[/tex]

[tex]42 = x + 35[/tex]

[tex]x = 42 - 35[/tex]

[tex]x = 7[/tex]

Answer:

Two points that are not intercepts

Step-by-step explanation:

Khan said :)

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