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