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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)