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

Question

1 month ago

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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.

1 answer:

Svet_ta [12.7K] · Answer 1 · 2026-02-25T12:04:18+03:00

Answer:

Base Charge = $7

Additional Fees = $7

Step-by-step explanation:

Let x represent the base charge and y for the additional fees.

For a job that lasts 5 hours, we obtain:

$42 = x + 5y$

For the 3-hour task

$28 = x + 3y$

Finding x and y;

$42 = x + 5y$

$28 = x + 3y$

Deduct the second equation from the first

$42 - 28 = x - x + 5y - 3y$

$14 = 2y$

Calculate y

$y = 14/2$

$y = 7$

Replace 7 with y in the first equation

$42 = x + 5y$

$42 = x + 5 * 7$

$42 = x + 35$

$x = 42 - 35$

$x = 7$