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
Compare the
Unit Rate
Best Deal
Worst Deal
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:
Constant of
Proportionality
Company
Name
POP
CODN
To determine the constant of proportionality (unit rate) per order of popcorn for each company, you would need more information. The constant of proportionality is typically given as the cost of one unit or item of popcorn. Please provide the cost of one bag of popcorn from each company in order to calculate the unit rates.
Fantastic Flicks Popcorn
2 bags for $21.00
Perfect Picture Popcorn
y= 9.95x
# of bags of popcorn
Movie Mania Popcorn
amount paid (in dollars)
81.20
60.90
40.60
20.30
8
6
4
2
To calculate the constant of proportionality (unit rate) per order of popcorn for each company, we need the information about the cost of one bag of popcorn from each company.
For Fantastic Flicks Popcorn, the cost of 2 bags is $21.00, so the cost of one bag would be $21.00/2 = $10.50.
For Perfect Picture Popcorn, the cost is given by the equation y = 9.95x, where x is the number of bags of popcorn. This means that the cost of one bag of popcorn is $9.95.
Now we can compare the unit rates:
Fantastic Flicks Popcorn: $10.50 per bag
Perfect Picture Popcorn: $9.95 per bag
To calculate how much you would save purchasing from Perfect Picture Popcorn than from Fantastic Flicks if you bought 3 bags from each company, we can multiply the unit rates by the number of bags:
Cost from Fantastic Flicks: $10.50 per bag x 3 bags = $31.50
Cost from Perfect Picture: $9.95 per bag x 3 bags = $29.85
Therefore, you would save $31.50 - $29.85 = $1.65 by purchasing from Perfect Picture Popcorn instead of Fantastic Flicks.
amount paid (in dollars)
The Big Screen Popcorn
y
120
105
90
75
60
45
30
15
0 3 6 9 12 15 X
# of bags of popcorn
To calculate the constant of proportionality (unit rate) for The Big Screen Popcorn, we need to determine the cost of one bag of popcorn.
Based on the given information, we can observe that the amount paid (in dollars) is decreasing by 15 for every 3 additional bags of popcorn.
From this pattern, we can determine that the unit rate (constant of proportionality) for The Big Screen Popcorn is $15. This means that each bag of popcorn costs $15 regardless of the number of bags purchased.
Therefore, the unit rate for The Big Screen Popcorn is $15 per bag.
A)What does the point (9,90) mean on this graph? Be specific using the titles of the axis.
The point (9, 90) on the graph represents a specific combination of the number of bags of popcorn and the amount paid (in dollars).
The x-axis represents the number of bags of popcorn, where 9 corresponds to the number of bags.
The y-axis represents the amount paid (in dollars), where 90 corresponds to the amount paid for purchasing 9 bags of popcorn.
Therefore, the point (9, 90) on the graph represents the scenario where 9 bags of popcorn were purchased, and the total amount paid was $90.