10. you have two jobs. you earn $8 for each hour x that you work as a restaurant host and $6 for each hour y that you work as a hair washer. your earnings for the pay period are $144. a. write an equation in standard form that models your earnings. b. find the x- and y-intercepts. c. you worked 10 hours as a hair washer. how many hours did you work as a host?

Step-by-step explanation:

The equation in standard form is:

8x + 6y = 144

To find the y-intercept, isolate y.

8x + 6y = 144

Subtract 8x from both sides.

6y = -8x + 144

Divide both sides by 6.

y = -4/3x + 24

From this, we know (0, 24) is the y-intercept because b, which in this case, is the y value for the y-intercept.

To find the x-intercept, input y as 0.

0 = -4/3x + 24

Subtract 24 from both sides.

-24 = -4/3x

Multiply both sides by 3/-4.

18 = x

The x -intercept is (18, 0).

Input 10 for y because that's how many hours you worked as a hair washer.

8x + 6(10) = 144

Simplify.

8x + 60 = 144

Subtract both sides by 60.

8x = 84

Divide both sides by 8.

x = 10.5

You worked 10.5 hours as a host.