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. write an equation to represent the relationship between the number of hours and the height of the snow. use \\(s\\) to represent the height of the snow and \\(x\\) to represent the number of hours. slope = \\(\frac{1}{5}\\) vertical intercept = 4 height of the snow = starting height of snow + snowfall per hour \\(\cdot\\) number of hours equation:

Explanation:

Step1: Identify linear form

The relationship follows the linear equation structure $y = mx + b$, where $m$ is the rate (slope) and $b$ is the initial value (vertical intercept).

Step2: Assign variables and values

Let $s$ (snow height) = $y$, $x$ (hours) = $x$, slope $m = \frac{1}{5}$, vertical intercept $b = 4$.

Step3: Substitute into linear form

Replace the linear form variables with the given values and variables.
$s = \frac{1}{5}x + 4$

Answer:

$s = \frac{1}{5}x + 4$