Question

snowfall amount
\

$$\begin{tabular}{|c|c|} \\hline length of snowfall (hours) & amount of snow on the ground (inches) \\\\ \\hline 0 & 3.30 \\\\ \\hline 0.5 & 4.5 \\\\ \\hline 1.0 & 5.7 \\\\ \\hline 1.5 & 6.9 \\\\ \\hline 2.0 & 8.1 \\\\ \\hline \\end{tabular}$$

a 1.2 inches per hour
b 2.4 inches per hour
c 3.3 inches per hour
d 5.7 inches per hour

Explanation:

⚡ Using what you learned: Rate of Change and Applications

Step 1: Identify data points

Select two points from the table \((x, y)\), where \(x\) represents the length of snowfall in hours and \(y\) represents the amount of snow on the ground in inches:

$$(x_1, y_1) = (0, 3.30)$$

$$(x_2, y_2) = (1.0, 5.7)$$

Step 2: Calculate the rate of change

$$\text{Rate of change} = \frac{y_2 - y_1}{x_2 - x_1}$$

$$\text{Rate of change} = \frac{5.7 - 3.30}{1.0 - 0}$$

$$\text{Rate of change} = \frac{2.4}{1} = 2.4\text{ inches per hour}$$

Answer:

B 2.4 inches per hour