To analyze the possible combinations based on the provided information about the relationship between the number of gallons of gasoline in the tanks and the maximum miles driven, we can look at the points given in the scatterplot: (9, 280) and (12, 360).
From these points, we can derive a line representing the relationship, which may help us assess the other combinations:
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0 gallons in the gas tank and 20 miles: This combination is likely not feasible, as vehicles generally can’t travel without fuel.
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9 gallons in the gas tank and 280 miles: This matches one of the points on the scatterplot (9, 280), so it is definitely possible.
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11 gallons in the gas tank and 360 miles: We can interpolate between the points (9, 280) and (12, 360) to evaluate this. By approximation, since (12, 360) suggests that each gallon contributes approximately 30 miles (360 miles - 280 miles = 80 miles for 3 gallons, thus 80/3 = approx. 27 miles per gallon). With 11 gallons, we can estimate it would yield around: 280 miles + (2 gallons x 27 miles per gallon) = approx. 334 miles. Thus, 11 gallons to achieve 360 miles seems unlikely, but it's close.
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19 gallons in the gas tank and 520 miles: Based on the previous calculations and the pattern established, this combination seems beyond the extrapolated limits of the data points.
Among these options, the combination that is most likely to be possible based on the scatterplot data is 9 gallons in the gas tank and 280 miles, as it directly corresponds to one of the data points provided.