Your Turn: 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 vehicle's miles per gallon fuel efficiency. MPG (M) 12.5 13.5 14.5 15.5 16.5 17.5 18.5 19.5 20.5 21.5 22.5 Tax per Car (T) $6400 $5400 $4500 $3700 $3300 $2600 $2100 $1700 $1300 $1000 $0 1. Plot the data, verify that they are roughly linear, and add a line of best fit. Line of Best Fit: 2. Identify and interpret the meaning of the slope and the vertical intercept. 3. Predict the tax for a car which gets 20 MPG. Is this interpolation or extrapolation? 4. Predict the tax for a car which gets 10 MPG. Is this interpolation or extrapolation? 5. Predict the tax for a car which gets 30 MPG. Why doesn't this make sense?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Your Turn: 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 vehicle's miles per gallon fuel efficiency.
12.5 13.5
MPG (M)
14.5 15.5 16.5 17.5 18.5 19.5 20.5 21.5 22.5
Tax per Car (T) $6400 $5400 $4500 $3700 $3300 $2600 $2100 $1700 $1300 $1000
$0
1. Plot the data, verify that they are roughly linear, and add a line of best fit.
Line of Best Fit:
2. Identify and interpret the meaning of the slope and the vertical intercept.
3. Predict the tax for a car which gets 20 MPG. Is this interpolation or extrapolation?
4. Predict the tax for a car which gets 10 MPG. Is this interpolation or extrapolation?
5. Predict the tax for a car which gets 30 MPG. Why doesn't this make sense?
Transcribed Image Text:Your Turn: 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 vehicle's miles per gallon fuel efficiency. 12.5 13.5 MPG (M) 14.5 15.5 16.5 17.5 18.5 19.5 20.5 21.5 22.5 Tax per Car (T) $6400 $5400 $4500 $3700 $3300 $2600 $2100 $1700 $1300 $1000 $0 1. Plot the data, verify that they are roughly linear, and add a line of best fit. Line of Best Fit: 2. Identify and interpret the meaning of the slope and the vertical intercept. 3. Predict the tax for a car which gets 20 MPG. Is this interpolation or extrapolation? 4. Predict the tax for a car which gets 10 MPG. Is this interpolation or extrapolation? 5. Predict the tax for a car which gets 30 MPG. Why doesn't this make sense?
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