medium · SAT Math

A driver recorded the amount of fuel remaining in a car's tank (in gallons) at different distances driven since the last fill-up. The scatterplot of miles driven since fill-up (x) versus fuel remaining (y, gallons) shows the following data points and a line of best fit: Miles driven (x): Fuel remaining (y, gallons) 0: 14.8 50: 12.9 100: 11.1 150: 9.0 200: 7.2 Line of best fit: y = -0.038x + 14.7, where x = miles driven since fill-up and y = predicted gallons of fuel remaining. In the context of this scatterplot, what does the slope of the line of best fit mean?

1. For each additional mile driven, the predicted amount of fuel remaining increases by about 0.038 gallons.
2. For each additional mile driven, the predicted amount of fuel remaining decreases by about 0.038 gallons.
3. For each additional mile driven, the predicted amount of fuel remaining decreases by about 14.7 gallons.
4. When the car has been driven 0 miles, the tank holds about 0.038 gallons of fuel.

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