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. For every $5\%$ increase in snowpack water content, how many more days does company take to clear the Tioga Road?

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 $5\%$, we get $y=\frac{2\left(5\right)}{5}=2$ days.