To determine the constant of proportionality (unit price) for a bag of popcorn at each theatre, we need the total cost of popcorn at each theatre and the number of bags. Since you haven't provided the specific prices for each theatre, I can show you how to calculate the unit prices based on fictional costs.
Here's a hypothetical example based on imagined prices:
-
Big Screen: $5 for 1 bag
Unit Price = $5 / 1 = $5.00 per bag -
Fantastic Flicks: $7.50 for 2 bags
Unit Price = $7.50 / 2 = $3.75 per bag -
Movie Mania: $4.50 for 1 bag
Unit Price = $4.50 / 1 = $4.50 per bag -
Perfect Picture: $6 for 2 bags
Unit Price = $6 / 2 = $3.00 per bag
With these calculations, the unit prices would be:
- Big Screen: $5.00
- Fantastic Flicks: $3.75
- Movie Mania: $4.50
- Perfect Picture: $3.00
Question 2
The theatre with the best deal for popcorn is Perfect Picture ($3.00 per bag), and the theatre with the worst deal for popcorn is Big Screen ($5.00 per bag).
Question 3
If you bought 3 bags of popcorn from each theatre:
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Perfect Picture:
- 3 bags x $3.00 = $9.00
-
Fantastic Flicks:
- 3 bags x $3.75 = $11.25
To find out how much you would save by purchasing from Perfect Picture instead of Fantastic Flicks, subtract the total cost of Perfect Picture from that of Fantastic Flicks:
Savings = $11.25 (Fantastic Flicks) - $9.00 (Perfect Picture) = $2.25
So the answer for Question 3 would be: $2.25.
If you provide the actual prices, I can give you the exact calculations.