Jake's older brother, Sam, has a choice of two summer jobs. He can either work at an elec
or at the school's bus garage. The electronics store would pay him to work 20 hours per week. He
would make $12 per hour plus a 3% commission on his electronics sales. At the school's bus gara
Sam could earn $400 per week working 20 hours cleaning buses. Sam wants to take the job that
him the most. How much in electronics would Sam have to sell for the job at the electronics store
the better choice for his summer job?

answer: x=60

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.