Data regarding the value of a particular color copier is representing in the graph. Find the rate of change of the value with respect to time, in dollars per year.
The line goes from 8 vertical to 10 horizontal. The points on the graph are on the value 4 and 8 for time
The rate of change of the value with respect to time is how many dollars per year.
Your description of the points is lacking.
Define the points as (x1,y1) and (x2, y2)
Then rate of change is slope, or equal to
(Y2-y1)/(x2-x1)
To find the rate of change of the value with respect to time, you need to calculate the slope of the line connecting the two points on the graph representing the value at different times.
Given that the value at time 4 is 8 and the value at time 8 is 10, you have two points: (4, 8) and (8, 10).
To calculate the slope, you can use the formula:
Slope = (change in value)/(change in time)
In this case, the change in value is 10 - 8 = 2 and the change in time is 8 - 4 = 4. Thus, the slope becomes:
Slope = 2/4
Reducing this fraction gives us:
Slope = 1/2
Therefore, the rate of change of the value with respect to time is 1/2 dollars per year.