The linear equation that shows the relationship between the number of hours it has been snowing, x, and the total snow cover in centimeters, y is given by:
y = 2x + 4
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of a function.
In this problem:
- Bear Valley already had 4 centimeters of snow cover when a snowstorm moved in, hence b = 4.
- The storm is increasing the amount of snow cover by 2 centimeters per hour, hence m = 2.
Thus, the equation is:
y = 2x + 4
More can be learned about linear equations at https://brainly.com/question/24808124