Question

at what rate was the snow falling during the first snowfall? answer 2 inches every 1 hour 1 inch every 2 hours 1 inch every 3 hours 3 inches every 1 hour

Explanation:

Step1: Identify two - point on the first - part of the graph

The first part of the graph is from \(x = 0\) to \(x=6\). At \(x = 0\), the snow depth \(y = 2\) inches and at \(x = 6\), the snow depth \(y = 4\) inches.

Step2: Calculate the rate of change

The rate of change (slope) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1 = 2,x_2=6,y_2 = 4\). So \(m=\frac{4 - 2}{6-0}=\frac{2}{6}=\frac{1}{3}\) inches per hour, which means 1 inch every 3 hours.

Answer:

1 inch every 3 hours