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 in words to represent this graph. slope = \\(\frac{1}{5}\\) vertical intercept = 4 graph of a line with x - axis as number of hours, x and y - axis as height of snow (cm), s, starting at (0,4) and having a slope of \\(\frac{1}{5}\\) fill - in - the - blank equation: \\(\square = \square + \square \cdot \square\\) with options: starting height of snow, snowfall per hour, number of hours, height of the snow

Explanation:

Step1: Identify total snow variable

The total height of the snow is the dependent variable, so it goes on the left side of the equation.

Step2: Identify initial snow amount

The starting height of snow is the constant term (vertical intercept).

Step3: Identify rate and time terms

The snowfall per hour (slope) multiplied by the number of hours gives the additional snow.

Answer:

$\text{height of the snow} = \text{starting height of snow} + \text{snowfall per hour} \cdot \text{number of hours}$