Student Sample - Proportional Relationships
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This document discusses proportional relationships using examples of babysitting hours and money earned, snowfall and snow accumulation, and hours worked by a carpenter and money paid. It explains that if the unit rates are the same for each data entry, the relationship is proportional. For a proportional relationship, a graph of the data will produce a straight line that passes through the origin. The babysitting example shows a proportional relationship with a constant unit rate of $12 per hour. However, the snowfall example is not proportional because there is not a constant rate of change.
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- 2. Find the unit rate for each set of data in the table. If the unit rates are the same for each entry, then the relationship is proportional. If the unit rates are different, then the relationship is not proportional
- 3. If a graph is showing a proportional relationship, it will: Be a straight line Cross through the origin of the graph
- 4. Hours Babysitting Money Earned 1 $12 2 $24 3 $36 4 $48 This is a proportional relationship. There is a constant unit rate of $12 per hour.
- 5. Hours Snowing Snow Accumulation 1 2 inches 2 3 inches 3 5 inches 4 8 inches This is not a proportional relationship. There is not a constant rate of change.
- 6. 0 5 10 15 20 25 30 35 40 45 50 0 0.5 1 1.5 2 2.5 3 3.5 Money Earned Shoveling Snow Hours Shoveling MoneyEarned
- 7. 0 20 40 60 80 100 120 140 160 0 0.5 1 1.5 2 2.5 3 3.5 Money Paid to Carpenter Hours Worked MoneyPaid