Question

The given scatterplot compares the snowpack water content as a percent of the historical average to the days Company takes to clear the snow from Tioga road. Assuming no unforeseen obstacles or machinery issues, if initially the road's snowpack water content is $248\%$ of the historical average, how many days will it take to fully clear Tioga Road? (round to nearest whole number)

Answer 1

The line passes through the point $(100,40)$. Since the line passes through the origin, the equation of the line is $y=mx$. Now substituting the point $(100,40)$ gives us $40=100m$ or $m=\frac{2}{5}$.

Hence the equation of the line is $y=\frac{2x}{5}$. Therefore at $248$% we get $y=\frac{2\left(248\right)}{5}=99.2days$.