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

Two points that are not intercepts

Explanation:

Khan said :)

Answer 2

Base Fee = $7

Extra charges = $7

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`