explore & reason\nsome friends want to see a ...
explore & reason\nsome 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.\ntheater a theater b\nticket price $14.50 $13.00\npopcorn $5.75 $6.75\na. construct arguments which movie theater should the friends choose? explain.
Answer
# Explanation:
## Step1: Calculate popcorn cost for A
$3 \times 5.75 = 17.25$
## Step2: Calculate popcorn cost for B
$3 \times 6.75 = 20.25$
## Step3: Let n = number of friends. Total cost A: $14.50n + 17.25$
## Step4: Total cost B: $13.00n + 20.25$
## Step5: Find break-even n: $14.50n + 17.25 = 13.00n + 20.25$ → $n=2$
## Step6: For n>2, B cheaper; n<2, A cheaper; n=2, same. "Some friends" implies n>2.
# Answer:
The friends should choose Theater B. For more than 2 friends, Theater B's lower per-ticket price offsets higher popcorn cost, resulting in lower total cost.