We can imagine that x will be the number of hours and y will be the amount of snow. We can find the first-degree equation using the points (3,6) and (7,14) with the following equation:
[tex]y-yo=m(x-xo)[/tex]Let's find m first, we can do this using the following equation:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]y2 is 14, y1 is 6. x2 is 7 and x1 is 3. Thus:
[tex]m\text{ = }\frac{14-6}{7-3}=2_{}_{}[/tex]We can nominee the point (3,6) to be part of the xo, yo point in the first equation:
[tex]y-6=2(x-3)[/tex][tex]y-6=2x-6[/tex][tex]y=\text{ 2x}[/tex]If the snow continues to fall, after 24 hours (x), the amount of snow will be:
[tex]y\text{ = 24}\times2=48\text{ inches}[/tex]