Question

the table of values below represents a linear function and shows the amount of snow that has fallen since a snowstorm began. what is the rate of change?

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$$\begin{tabular}{|c|c|} \\hline \\multicolumn{2}{|c|}{snowfall amount} \\\\ \\hline length of snowfall (hours) & amount of snow on the ground (inches) \\\\ \\hline 0 & 3.30 \\\\ \\hline 0.5 & 4.5 \\\\ \\hline 1.0 & 5.7 \\\\ \\hline 1.5 & 6.9 \\\\ \\hline 2.0 & 8.1 \\\\ \\hline \\end{tabular}$$

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

Explanation:

⚡ Using what you learned: Rate of Change and Applications

Step 1: Identify coordinates

Select two points from the table:

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

$$ (x_2, y_2) = (0.5, 4.5) $$

Step 2: Calculate rate of change

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

$$ \text{Rate of Change} = \frac{4.5 - 3.30}{0.5 - 0} $$

$$ \text{Rate of Change} = \frac{1.2}{0.5} = 2.4 $$

Answer:

B 2.4 inches per hour