In the United States, gasoline for motor vehicles is used continuously, and that usage, in billions of

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In the United States, gasoline for motor vehicles is used continuously, and that usage, in billions of gallons per year, is shown in the table for selected years from 2014 and projected to 2024.

(a) Find a quadratic function that models these data, with t as the number of years past 2014.

Report the model as G(t) with three significant digits.

(b)Evaluate f100 G(t) dt and tell what it represents.

Year 201420162018202020222024

Gasoline usage

(billions of gallons) 132.8 133.5 130.4 126.1 121.2 116.3

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