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Tioga Road is a mountain pass that cross...


Tioga Road is a mountain pass that crosses the Sierra nevada through northern Yosemite National Park. The road is closed from about November through late May. This time period can change depending on the quantity and nature of the season's snowfall, as well as unforeseen obstacles such as fallen trees or rocks. The scatterplot above compares the snowpack water content on April 1 (for year 1981-2014) as a percent of the historical average to the time it takes th National Park Service to fully clear the road and open it to traffic.
Assuming no unforeseen obstacles or machinery issues, if the road's snowpack water content on April 1 is 248 percent of the historical average, based on the prior experience shown on the graph, how many days will it take to fully clear Tioga Road ?

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Verified by Experts

The correct Answer is:
99.2

The slope you found in the previous question will save you some time here. The line of best fit on the scatterplot intersects the y-axis at (0,0). Therefoer the equation of the line of best fit is `y =2/5x.` Plug 248 in for x and simplify:
`y= 2/5 (248)=(496)/(5)=99.2`
The road clearing time at `248%` snowpack water content will take 99.2 days.
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Tioga Road is a mountain pass that crosses the Sierra nevada through northern Yosemite National Park. The road is closed from about November through late May. This time period can change depending on the quantity and nature of the season's snowfall, as well as unforeseen obstacles such as fallen trees or rocks. The scatterplot above compares the snowpack water content on April 1 (for year 1981-2014) as a percent of the historical average to the time it takes th National Park Service to fully clear the road and open it to traffic. For every 5 percent increases in snowpack water content, how many more days does it take the National Park Service to clear Tioga Road ?

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