The fuel economy y of a representative car (in miles per gallon) can be approximated by
y = −.00000636x4 + .001032x3 − .067x2 + 2.19x + 8.6,
where x is the speed of the car (in miles per hour).* At what speed does this car get the most miles per gallon?†
*Based on data from the U.S. Department of Energy.
†The most fuel efficient speed for a particular car may differ by 3 or 4 mph from the answer here.
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