Fantastic flicks, popcorn: two bags for $21
Perfect picture popcorn: Y equals 9.95X
Movie mania popcorn
#OfBagsPaid amount paid in dollars
8. 81.20
6. 60.90
4. 40.60
2. 20.30
Movie Company. Constant of proportionality.
Movie mania What is the cost of proportionality
Fantastic flicks What is the cost of proportionality
Perfect picture What is the cost of proportionality
Movie Mania: The cost of proportionality is $10.15 per bag.
Fantastic Flicks: The cost of proportionality is $10.50 per bag.
Perfect Picture: The constant of proportionality is already given as $9.95 per bag.
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To find the cost of proportionality, we can look at the relationship between the number of bags and the amount paid for each movie company.
For Movie Mania:
To find the cost of proportionality, we can divide the amount paid by the number of bags. For example, when 8 bags were purchased, the amount paid was $81.20. So, the cost of proportionality for Movie Mania is $81.20/8 = $10.15 per bag.
For Fantastic Flicks:
Similarly, we can divide the amount paid by the number of bags for Fantastic Flicks. For example, when 2 bags were purchased, the amount paid was $20.30. So, the cost of proportionality for Fantastic Flicks is $20.30/2 = $10.15 per bag.
For Perfect Picture:
The cost of proportionality is already given as $9.95 per bag. This means that regardless of the number of bags purchased, the cost per bag will always be $9.95 for Perfect Picture popcorn.
In summary:
- Movie Mania has a cost of proportionality of $10.15 per bag.
- Fantastic Flicks also has a cost of proportionality of $10.15 per bag.
- Perfect Picture has a fixed cost of $9.95 per bag.
To find the cost of proportionality for each movie company, we need to determine the relationship between the number of bags purchased and the amount paid in dollars.
For Movie Mania:
We can see that as the number of bags decreases, the amount paid also decreases. We can use the data points given to calculate the constant of proportionality.
Using the information provided, we can choose any two data points and calculate the ratio of the change in the amount paid to the change in the number of bags. Let's use the data points (8, $81.20) and (6, $60.90):
Change in amount paid = $81.20 - $60.90 = $20.30
Change in number of bags = 8 - 6 = 2
Cost of proportionality for Movie Mania = Change in amount paid / Change in number of bags
= $20.30 / 2
= $10.15
Therefore, the cost of proportionality for Movie Mania is $10.15.
For Fantastic Flicks:
We are given that two bags of popcorn cost $21. To find the cost of proportionality, we can divide the total cost by the number of bags:
Cost of proportionality for Fantastic Flicks = Total cost / Number of bags
= $21 / 2
= $10.50
Therefore, the cost of proportionality for Fantastic Flicks is $10.50.
For Perfect Picture:
We are given that the relationship between the number of bags (X) and the amount paid in dollars (Y) is given by the equation Y = 9.95X. Here, the constant of proportionality is the coefficient of X, which is 9.95.
Therefore, the cost of proportionality for Perfect Picture is $9.95.
In summary:
- Movie Mania has a cost of proportionality of $10.15.
- Fantastic Flicks has a cost of proportionality of $10.50.
- Perfect Picture has a cost of proportionality of $9.95.