To review the differences between proportional and non-proportional relationships, drag the following descriptions into the correct column of the T-chart.
Now try the following example problems.
The prices for sliced ham from the deli section of four different grocery stores are listed below. Compare the price lists, and determine which grocery store is using a proportional relationship to price their sliced ham.
Store A
|
Store B
|
Store C
|
Store D
|
Copy the following tables into your notes, and fill in the missing information for each store.
Store A
|
Store B
|
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Store C
|
Store D
|
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Pounds |
Price | price pound |
0.5 | $3.50 | $7.00 per pound |
1 | $6.50 | $6.50 per pound |
1.5 | $9.50 | $6.33 per pound |
2 | $12.50 | $6.25 per pound |
Is this the store that uses a proportional relationship to determine the price of sliced ham?
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No
How do you know?
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The ratio of
price
pound
is not constant.
Pounds |
Price | price pound |
0.5 | $2.75 | $5.50 per pound |
1 | $5.00 | $5.00 per pound |
1.5 | $7.50 | $5.00 per pound |
2 | $10.00 | $5.00 per pound |
Is this the store that uses a proportional relationship to determine the price of sliced ham?
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No
How do you know?
Interactive popup. Assistance may be required.
The ratio of
price
pound
is not constant.
Pounds |
Price | price pound |
0.5 | $3.25 | $6.50 per pound |
1 | $6.50 | $6.50 per pound |
1.5 | $9.75 | $6.50 per pound |
2 | $13.00 | $6.50 per pound |
Is this the store that uses a proportional relationship to determine the price of sliced ham?
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Yes
How do you know?
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The ratio of
price
pound
is constant.
Pounds |
Price | price pound |
0.5 | $3.00 | $6.00 per pound |
1 | $6.00 | $6.00 per pound |
1.5 | $9.00 | $6.00 per pound |
2 | $11.00 | $5.50 per pound |
Is this the store that uses a proportional relationship to determine the price of sliced ham?
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No
How do you know?
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The ratio of
price
pound
is not constant.
Four students measured the height of plants they were growing in their science class. They measured the height of the plants each week for four weeks. Their results are shown in the data table below:
Name |
Height of the plant (centimeters) |
|||
Week 1 |
Week 2 |
Week 3 |
Week 4 |
|
Mario |
2.0 |
5.0 |
8.0 |
10.0 |
Suzie |
1.0 |
1.5 |
2.5 |
4.0 |
Frank |
2.5 |
5.0 |
7.5 |
10.0 |
Shantel |
1.5 |
3.5 |
5.5 |
7.5 |
Which student had a plant that showed growth proportional to the number of weeks?
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Frank
How did you know?
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The ratio between plant height and the number of weeks is constant.