Some friends want to see a movie that is showing at two different theaters in town. They plan to share three tubs of popcorn during the movie. Movie theatre prices. Theatre A: ticket price 14 dollars 50 cents, popcorn 5 dollars 75 cents. Theatre B: ticket price 13 dollars, popcorn 6 dollars 75 cents.

Let's call x as the number of friends, now, in Theatre A we have:

Price for x tickets = x*$14.50

price for 3 tubs of popcorn = 3*$5.75 = $17.25

Total price:

Pa(x) = $14.50*x + $17.25

Now, for Theatre B we have:

Price for x tickets = $13*x.

Price for 3 tubs of popcorn: = 3*$6.75 = $20.25

Total price:

Pb(x) = $13*x + $20.25.

Now, we can find the number of friends x in such case that they will pay the same in each theater by:

Pa(x) = Pb(x)

$14.50*x + $17.25 = $13*x + $20.25.

Now we solve this for x:

($14.50 - $13)*x = $20.25 - $17.25 = $3

$1.50*x = $3

x = $3/$1.50 = 2.

Then, if there are 2 friends, they will pay the same in both theatres

If there are more tha 2 friends, the cheaper place will be Theatre B, because the slope is smaller, which means that for each additional ticket the total price will increase less.

the graph on the bottom right

answer: idk

step-by-step explanation: