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Which table shows a proportional relationship between miles traveled and gas used?
Miles Traveled Gas Used
27.3 mi 1.5 gal
49.16 mi 3.8 gal
Miles Traveled Gas Used
135 mi 7.4 gal
135.5 mi 7.9 gal
Miles Traveled Gas Used
120 mi 6.2 gal
180 mi 12.2 gal
Miles Traveled Gas Used
270 mi 15 gal
135 mi 7.5 gal
To determine which table shows a proportional relationship between miles traveled and gas used, we need to check if the ratio of miles to gas used is constant for each entry in the table.
1. First Table:
– 27.3 mi / 1.5 gal = 18.2
– 49.16 mi / 3.8 gal = 12.93
Not proportional (different ratios)
2. Second Table:
– 135 mi / 7.4 gal = 18.24
– 135.5 mi / 7.9 gal = 17.16
Not proportional (different ratios)
3. Third Table:
– 120 mi / 6.2 gal = 19.35
– 180 mi / 12.2 gal = 14.75
Not proportional (different ratios)
4. Fourth Table:
– 270 mi / 15 gal = 18
– 135 mi / 7.5 gal = 18
Proportional (same ratio)
The fourth table shows a proportional relationship with a constant ratio of approximately 18 miles per gallon used.