Road Grade From the top of a mountain road, a surveyor takes several horizontal measuremen...

Road Grade From the top of a mountain road, a surveyor takes several horizontal measurements x and several vertical measurements y, as shown in the table (x and y are measured in feet).

(a) Sketch a scatter plot of the data.

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(b) Use a straightedge to sketch the line that you think best fits the data.

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(c) Find an equation for the line you sketched in part (b).

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(d) Interpret the meaning of the slope of the line in part (c) in the context of the problem.

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(e) The surveyor needs to put up a road sign that indicates the steepness of the road. For instance, a surveyor would put up a sign that states “8% grade” on a road with a downhill grade that has a slope of . What should the sign state for the road in this problem?