Fantastic flicks popcorn: 2 bags for $21.00

Question

Perfect picture popcorn
y = 9.95x

Movie Mania popcorn

Bags of popcorn, and amount paid (in dollars)

8 = 81.20

6 = 60.90

4 = 40.60

2 = 2.30

If you bought 3 bags of popcorn from each company, how much would you save purchasing from PERFECT PICTURE POPCORN than from FANTASTIC FLICKS?
Determine the constant of proportionality (unit rate) per order of popcorn for each company.
Movie Company:
Movie mania
Fantastic Flicks
Perfect picture
The big screen

Constant of proportionality:

Answer 1

Movie Mania: y = 9.95x
Fantastic Flicks: 2 bags for $21.00 -> $21/2 = $10.50 per bag
Perfect Picture: Not given, needs to be determined

To determine the constant of proportionality for Perfect Picture, we will use the provided data:

2 bags for $2.30
4 bags for $40.60
6 bags for $60.90
8 bags for $81.20

The unit rate (cost per bag) for Perfect Picture can be found by dividing the total cost by the number of bags:

2 bags for $2.30 -> $2.30/2 = $1.15 per bag
4 bags for $40.60 -> $40.60/4 = $10.15 per bag
6 bags for $60.90 -> $60.90/6 = $10.15 per bag
8 bags for $81.20 -> $81.20/8 = $10.15 per bag

The constant of proportionality (unit rate) for Perfect Picture is $10.15 per bag.