Determine the constant of proportionality (unit rate) per order of popcorn for each company.
If you bought 3 bags of popcorn from each company, how much would you save purchasing from PERFECT PICTURE POPCORN than from FANTASTIC FLICKS?
Your answer:
Movie Company
Constant of Proportionality
Movie Mania
20.30
Fantastic Flicks
21.00
Perfect Picture
9.95
The Big Screen
15.00
Compare the Unit Rate
Company Name
Best Deal
9.95
Worst Deal
21.00
To determine the constant of proportionality (unit rate) per order of popcorn for each company, you need to divide the total cost of the order by the number of bags of popcorn.
For the company Fantastic Flicks, the constant of proportionality is calculated as follows:
Constant of Proportionality = Total cost / Number of bags
Constant of Proportionality = $21.00 / 3 bags
Constant of Proportionality = $7.00 per bag
For the company Perfect Picture Popcorn, the constant of proportionality is calculated as follows:
Constant of Proportionality = Total cost / Number of bags
Constant of Proportionality = $9.95 / 3 bags
Constant of Proportionality = $3.32 per bag
Now, if you buy 3 bags of popcorn from each company, you can compare the savings.
The cost of purchasing 3 bags of popcorn from Perfect Picture Popcorn would be:
Cost = Constant of Proportionality * Number of bags
Cost = $3.32 per bag * 3 bags
Cost = $9.96
The cost of purchasing 3 bags of popcorn from Fantastic Flicks would be:
Cost = Constant of Proportionality * Number of bags
Cost = $7.00 per bag * 3 bags
Cost = $21.00
To determine how much you would save purchasing from Perfect Picture Popcorn compared to Fantastic Flicks, you subtract the cost of purchasing from Fantastic Flicks from the cost of purchasing from Perfect Picture Popcorn.
Savings = Cost from Fantastic Flicks - Cost from Perfect Picture Popcorn
Savings = $21.00 - $9.96
Savings = $11.04
Therefore, you would save $11.04 purchasing from Perfect Picture Popcorn than from Fantastic Flicks.