Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

A SUV monitors its fuel consumption as it starts to drive along a hilly highway. The SUV’s internal computer records the level of fuel in its tank and its odometer readings periodically, shown in the table below:

Fuel Level (gallons) Distance (miles)
9.7 3
9.6 5
9.47 8
9.32 12
9.26 14
9.21 16
9.16 18.1
9.1 21

Assume the rate of fuel consumption (the decrease in fuel per mile) is always increasing as distance increases in this example. (Note: fuel economy is typically reported as a positive number.)

Compute the most precise underestimate possible of the SUV’s fuel economy when there are 9.26 gallons of fuel in its tank. Recall - the fuel economy is the positive value indicating the number of miles per gallon the car is consuming. (Round to two decimal places)

miles per gallon

Briefly explain why the value you computed is an underestimate.
Because I used an amount of gallons that less than 9.26. Because I used a distance less than 14 miles. Because the value I got for miles per gallon would be less than all other values. Because the rate of fuel consumption is always increasing, an average rate over an interval of miles prior to 14 miles must be an underestimate.
What information would you need to improve your approximation of the SUV’s fuel economy at the 9.26-gallon mark?
I would need to know the car’s fuel level for every distance. I would need to know how fast the car is traveling. I would need to know the fuel level for some distance between 12 and 14 miles. I would need to know the fuel level for some distance between 14 and 16 miles.