The total cost for a bucket of popcorn and 4 movie tickets is $56. the total cost for the same size bucket of popcorn and 6 movie tickets is $80. which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x + 24
y = 14x + 6
y = 14x + 28

The correct option is 1.

Step-by-step explanation:

Let the cost of a bucket of popcorn is m and the cost of a movie ticket is n.

The cost for a bucket of popcorn and 4 movie tickets is $56.

                  .... (1)

The total cost for the same size bucket of popcorn and 6 movie tickets is $80.

                  .... (2)

Subtract (1) from (2).

Put this value in equation (1).

The cost for a bucket of popcorn is $8 and the cost of a ticket is $12.

Let x be the number of movie tickets that are purchase.

Then total cost of the popcorn and movie tickets is

Therefore the required equation is y=12x+8. Option 1 is correct.