Evan has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 4.5 points for each visit to the movie theater. He needs 100 points for a free movie ticket. Write and solve an equation which can be used to determine xx, the number of visits Evan must make to earn a free movie ticket.

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

a

step-by-step explanation:

v,jhvljh,b.b; hk; ljujb,vuvccklokll; k,m,km,

step-by-step explanation: