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?

The required equation is, y = 8 + 12 x

Step-by-step explanation:

Let p be the price of one bucket of popcorn and t be the price of one ticket,

Since, the total cost for a bucket of popcorn and 4 movie tickets is $56

⇒ p + 4t = 56  (1)

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

⇒ p + 6t = 80 (2)

Equation (1) - Equation (2),

⇒ -2 t = - 24 ⇒ t = 12

By substituting this value in equation (1),

We get, p + 48 = 56 ⇒ p = 8

Thus, the price of one bucket of popcorn = $8

And, the price of one ticket = $12

Thus, the total price (y) of one bucket of popcorn and x tickets is,

y = 8 + 12 x

Which is the required equation.

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

step-by-step explanation:

this is my explanation