Question

Determine the initial value and the rate of change of the linear function as given in the graph.
-3,2.5 0,1 2,0
The initial value is , and the rate of change is .

Answer 1

To determine the initial value of the linear function, we need to find the y-intercept, or the value of y when x=0. Looking at the graph, when x=0, y=1. Therefore, the initial value is 1.

To determine the rate of change, we can calculate the slope of the line, which is given by the change in y divided by the change in x. Taking the points (0, 1) and (2, 0), we have a change in y of 0-1=-1, and a change in x of 2-0=2. Therefore, the rate of change, or the slope, is -1/2.

So, the initial value is 1 and the rate of change is -1/2.