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Question 110115: You know, from actual driving data, that your car gets 17 miles per gallon when your average speed is 45 M.P.H., but only 14 M.P.G. when your average speed is 45 M.P.H. A friend tells you that mileage g is almost linearly related to average speed V when V is between 30 M.P.H and 100 M.P.H. That is, for these speeds, g can be approximated as a linear function of V.
Investigations
1. Write the two ordered pairs defined by the given data. Use speed as input and gas mileage as output
2. Find the slope of the line defined by the linear relationship. Show work.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You know, from actual driving data, that your car gets 17 miles per gallon when your average speed is 45 M.P.H., but only 14 M.P.G. when your average speed is 45 M.P.H. A friend tells you that mileage g is almost linearly related to average speed V when V is between 30 M.P.H and 100 M.P.H. That is, for these speeds, g can be approximated as a linear function of V.
Investigations
1. Write the two ordered pairs defined by the given data. Use speed as input and gas mileage as output
(45,17) (45,14)
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Comment: You have made a mistake in your posting; you repeated 45 MPH.
The numbers should be different.
2. Find the slope of the line defined by the linear relationship. Show work.
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Cheers,
Stan H.
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