Aim 64 ­ Graph of proportional relationship
Aim 64 - The Graph of a Proportional Relationship
Suppose you and some friends plan to go to a movie where the tickets cost $8 each. Fill in the table below showing the total cost of movie tickets based on the number of tickets you buy.
Number of Tickets
1
2
3
4
5
Total Cost of Tickets The unit rate is ____________
Do you think this is a proportional relationship? Explain.
Another name for the unit rate is the constant of proportionality. The equation of the above relationship is:_________________
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Aim 64 ­ Graph of proportional relationship
The table below shows the cost to play in the town soccer tournament. Number of Family Members
1
2
3
4
Total Cost ($)
7
8
9
10
Do you think this is a proportional relationship? Explain.
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Aim 64 ­ Graph of proportional relationship
y
40
36
32
28
24
20
16
12
8
4
0
Total Cost ($)
Total Cost of Tickets
Use each of the given tables to graph the relationships. 1 2 3 4 5 6 7 8 9
Number of Tickets
x
y
10
9
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8 9
x
Number of Family Members
The Graph of a proportional relationship is:
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Aim 64 ­ Graph of proportional relationship
1. The table below shows the distance traveled by a snail d centimeters after t hours. Tell whether d is directly proportional to t. Justify your answer. Time (t ­ hours)
Distance traveled(d ­ centimeters)
1
3
2
5
3
7
2. The table below shows the distance traveled by a snail d centimeters after t hours. Tell whether d is directly proportional to t. Justify your answer. Time (t ­ hours)
Distance traveled(d ­ centimeters)
1
3
2
6
3
9
What is the constant of proportionality? Write an equation in terms of d and t. 4
Aim 64 ­ Graph of proportional relationship
3. Which of the following graphs do not represent a proportional relationship?
y
y
y
y
9
8
7
6
5
4
3
2
1
9
8
7
6
5
4
3
2
1
9
8
7
6
5
4
3
2
1
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9
a
x
1 2 3 4 5 6 7 8 9
b
x
1 2 3 4 5 6 7 8 9
c
x
1 2 3 4 5 6 7 8 9
d
x
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Aim 64 ­ Graph of proportional relationship
4. The graph below shows the cost, y dollars for x pounds of strawberries. Cost
y
16
14
12
10
8
6
4
2
0
1 2 3 4 5 6 7 8 9
Weight of Strawberries x
a) Complete the table using the given line and points.
Weight of strawberries (x ­ pounds)
Cost (y ­ dollars)
b) determine the unit rate for the price of strawberries.
c) Determine the constant of proportionality.
d) Write an equation based on the relationship. e) At this rate determine the price of 7 pounds of strawberries. f) How many strawberries can you buy for $48?
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Aim 64 ­ Graph of proportional relationship
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Aim 64 ­ Graph of proportional relationship
y = 8x
8
Aim 64 ­ Graph of proportional relationship
9
Aim 64 ­ Graph of proportional relationship
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Aim 64 ­ Graph of proportional relationship
56
y = 500x
y = 100x
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Aim 64 ­ Graph of proportional relationship
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Aim 64 ­ Graph of proportional relationship
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Attachments
Aim 64 ­ Graph of proportional relationship.docx