Steve started at $250 and spent $20 per week. chelsea started with nothing but saved $30 per week. use x for time and y for savings.

1. write two separate equations to represent steve's and chelsea's situation.
2. after how many weeks did steve and chelsea have the same amount of money?
3. how much money will they have when they have the same amount?

y=-20x+250

y=30x

5 weeks

$150

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

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