Answer:
y = 2x + 120
Step-by-step explanation:
Step 1: Set up 2 equations to find out the money earned per ticket.
One week they sold 40 tickets and made $200. This includes some flat rate of pay, so our equation is
40x + y = 200 (40 tickets times the money made off of each plus their flat
rate is $200)
The next week they sold 70 tickets and made $260. This also includes the flat rate of pay, so our second equation is
70x + y = 260
Use elimination to solve this system of equation...
70x + y = 260
40x + y = 200
subtract the second equation from the first to get rid
of the y variable, then solve for x
30x = 60
x = 2 (divide both sides by 30)
So they make $2 per ticket sold.
Step 2: Find out the flat rate they are paid. Plug 2 into x in either equation and solve.
40(2) + y = 200
80 + y = 200
y = 120
So they are paid $120 flat rate.
The equation we get is the money per ticket, plus the flat rate, so
y = 2x + 120 (2x represents 2 dollars for every ticket sold)
