A car manufacturer uses a model to predict the fuel consumption, y miles per gallon (mpg), for
Question:
A car manufacturer uses a model to predict the fuel consumption, y miles per gallon (mpg), for a specific model of car travelling at a speed of x mph. y = −0.01x2 + 0.975x + 16, x > 0
a. Use the model to find two speeds at which the car has a fuel consumption of 32.5 mpg.
b. Rewrite y in the form A − B(x − C)2, where A, B and C are constants to be found.
c. Using your answer to part b, find the speed at which the car has the greatest fuel efficiency.
d. Use the model to calculate the fuel consumption of a car travelling at 120 mph. Comment on the validity of using this model for very high speeds.
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a To find the speeds at which the car has a fuel consumption of 325 mpg we can set y equal to 325 an...View the full answer
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1st Edition
Authors: Greg Attwood
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