when patty wakes up, there are 6 inches of snow on the ground. as the snow continues to fall, the depth of…

when patty wakes up, there are 6 inches of snow on the ground. as the snow continues to fall, the depth of the snow increases by 2 inches per hour. write an equation that shows the relationship between x, the number of hours after patty wakes up, and y, the depth of the snow in inches. y =

when patty wakes up, there are 6 inches of snow on the ground. as the snow continues to fall, the depth of the snow increases by 2 inches per hour. write an equation that shows the relationship between x, the number of hours after patty wakes up, and y, the depth of the snow in inches. y =

Answer

Explanation:

Step1: Identify the initial - value

The initial depth of snow when Patty wakes up is 6 inches. This is the y - intercept (b) in the slope - intercept form of a linear equation $y = mx + b$.

Step2: Identify the rate of change

The depth of snow increases by 2 inches per hour. This is the slope (m) of the linear equation.

Step3: Write the linear equation

Using the slope - intercept form $y=mx + b$, where $m = 2$ and $b = 6$, we get $y=2x + 6$.

Answer:

$y = 2x+6$