Question

a town has 4 cm of snow on the ground from a previous snowstorm. today, snow is falling at a rate of \\(\frac{1}{5}\\) cm per hour. the graph below represents the relationship between the number of hours and amount of snow on the ground. what is the slope of the line? height of snow(cm), s number of hours, x slope =

Explanation:

Step1: Identify two points on line

From the graph, we can take $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(10,6)$.

Step2: Apply slope formula

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute the points:
$m=\frac{6-4}{10-0}=\frac{2}{10}=\frac{1}{5}$
We can also confirm this matches the given snowfall rate of $\frac{1}{5}$ cm per hour, which represents the rate of change (slope) of snow height over time.

Answer:

$\frac{1}{5}$