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28 May, 04:51

A Toyota Prius is able to drive 565 miles on 11.9 gallons of gasoline (highway driving). A Honda Accord can drive 619 miles on 17.2 gallons of gasoline (highway driving).

a. Which car gets better gas mileage?

b. Calculate the difference in costs if you drive a distance of 300 miles with each car, if gasoline is $3.19 per gallon?

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  1. 28 May, 07:07
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    (a) The Prius gets (565 mi) / (11.9 gal) = 47.479 mi/gal

    The Accord gets (619 mi) / (17.2 gal) = 35.988 mi/gal

    The Prius gets better gas mileage.

    (b) The difference in gallons per mile is

    1/35.988 - 1/47.479 ≈ 0.00672481 gal/mi

    Then the difference in cost is

    (0.00672481 gal/mi) * (300 mi) * ($3.19/gal) ≈ $6.44

    The difference in gas cost for 300 miles is $6.44.
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