The slope of the line representing the depth of snow over time is a constant value of 0.25. This indicates a consistent increase of 0.25 feet in depth for every two-hour period during the snowstorm.
To find the slope of the line representing the depth of snow over time, we can use the formula for slope, which is the change in the vertical (depth) divided by the change in the horizontal (time). In this case, we'll use the information provided at two different time intervals.
Let's consider the points (2, 0.5) and (4, 1.0). The change in depth (Δy) is 1.0 - 0.5 = 0.5, and the change in time (Δx) is 4 - 2 = 2. Therefore, the slope (m) is Δy/Δx = 0.5/2 = 0.25.
Similarly, for the points (4, 1.0) and (6, 1.5), the slope is (1.5 - 1.0)/(6 - 4) = 0.5/2 = 0.25.
This pattern holds for all consecutive pairs of points. The slope remains constant at 0.25 for each two-hour interval.