(Graphing program recommended.) The Gas Guzzler Tax is

Chapter 2, Problem 2.10.15

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(Graphing program recommended.) The Gas Guzzler Tax is imposed on manufacturers on the sale of new-model cars (not minivans, sport utility vehicles, or pickup trucks) whose fuel economy fails to meet certain statutory regulations, to discourage the production of fuel-inefficient vehicles. The tax is collected by the IRS and paid by the manufacturer. The table (top right) shows the amount of tax that the manufacturer must pay for a vehicles miles per gallon fuel efficiency. a. Plot the data, verify that they are roughly linear, and add a line of best fit. b. Choose two points on the line, find the slope, and then form a linear equation with x as the fuel efficiency in mpg and y as the tax in dollars. c. What is the average rate of change of the amount of tax imposed on fuel-inefficient vehicles? Interpret the units.

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