Megan wants to predict how much gas is left in her tank based on the distance she has driven. She filled up her tank and measured the amount of gas in her tank (in liters) after driving certain distances (in kilometers). Her data is summarized in the table below. Distance (km) 0 100 200 300 400 500 Gas left (L) 50.0 42.2 34.2 26.0 17.6 9.1 All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the x-axis.
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Megan wants to predict how much gas is left in her tank based on the distance she has driven. The data provided shows the amount of gas left in the tank after driving certain distances. Our goal is to determine which scatter plot best represents this data. Show more…
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Let g be the number of gallons of gasoline that remain in a car's gasoline tank after the car has been driven d miles since the tank was filled. Some pairs of values of d and g are shown in the following table: d (miles) g (gallons) 40 12 80 10 120 8 160 6 200 4 240 2 Create a linear model of the data using the points (40,12) and (240,2). Then draw a linear model. Use your model to estimate how much gasoline is in the tank after the driver has gone 140 miles since last filling up. Estimate the number of miles driven since the tank was last filled if 3 gallons of gasoline remain in the tank. Find the d-intercept of the model. What does it mean in this situation? Find the g-intercept of the model. What does it mean in this situation?
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