The constant of proportionality (unit rate) per order of popcorn for each company is as follows:
Fantastic Flicks: $10.50
Perfect Picture: $9.95
Movie Mania: $10.15
The Big Screen: Not provided in the information given.
Perfect Picture Popcorn y = 9.95x
Movie Mania Popcorn
# of bags of popcorn
amount paid (in dollars)
8
81.20
6
60.90
4
40.60
2
20.30
Determine the constant of proportionality (unit rate) per order of popcorn for each company.
Movie Company
Movie Mania
Constant of Proportionality
$10.15
Fantastic Flicks
Perfect Picture
The Big Screen
Fantastic Flicks: $10.50
Perfect Picture: $9.95
Movie Mania: $10.15
The Big Screen: Not provided in the information given.
Company Name
Best Deal
Worst Deal
Best Deal: Perfect Picture Popcorn with a unit rate of $9.95 per bag.
Worst Deal: Fantastic Flicks Popcorn with a unit rate of $10.50 per bag.
Therefore, Perfect Picture Popcorn offers the best deal with the lowest unit rate, while Fantastic Flicks Popcorn offers the worst deal with the highest unit rate.
Your answer
Perfect Picture Popcorn:
Unit rate = $9.95 per bag
Number of bags = 3
Total cost = $9.95 * 3 = $29.85
Fantastic Flicks Popcorn:
Unit rate = $10.50 per bag
Number of bags = 3
Total cost = $10.50 * 3 = $31.50
Therefore, by purchasing from Perfect Picture Popcorn instead of Fantastic Flicks, you would save $31.50 - $29.85 = $1.65.
Your answer.
B)Choose 2 points on the graph and list them below. (X,Y)
( ) and ( )
C)Find the slope of the line on the graph using your chosen points. Remember to use RISE/RUN. Simplify your slope. The graph doesn't count by ones! Use the values on the graph to find the slope.
Your answer
The Big Screen Popcorn
amount paid (in dollars)
120
105
90
75
60
45
30
15
X
3
6
9
12
# of bags of popcorn
Drag the blus points and the red ines onto the graph to snow your slope for part 8 and C
B) Two points on the graph are:
(3, 120) - 3 bags of popcorn purchased from The Big Screen company resulted in an amount paid of $120.
(6, 105) - 6 bags of popcorn purchased from The Big Screen company resulted in an amount paid of $105.
C) To find the slope of the line on the graph, we can use the formula slope = (change in y) / (change in x).
Using the points (3, 120) and (6, 105):
Slope = (105 - 120) / (6 - 3)
Slope = -15 / 3
Slope = -5
Therefore, the slope of the line on the graph is -5.