Question

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.

Answer 1

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:

$42 = x + 5y$

For the 3 hour job

$28 = x + 3y$

Solving for x and y;

$42 = x + 5y$

$28 = x + 3y$

Subtract the second equation from the first

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

$14 = 2y$

Solve for y

$y = 14/2$

$y = 7$

Substitute 7 for y n the first equation

$42 = x + 5y$

$42 = x + 5 * 7$

$42 = x + 35$

$x = 42 - 35$

$x = 7$