A bag contains 8 green marbles, 5 yellow marbles, and 12 black marbles. If a green marble is drawn, you win $10. If a yellow marble is drawn, you win $15. If a black marble is drawn, you lose $10. It costs $1 to play. What is the expected value of playing the game repeatedly?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

about 0.75 hours

step-by-step explanation: