The every one-unit increase in the independent variable, the dependent variable increases by 2.5 units.
To determine the unit rate from a graph depicting a line through the points (4,10) and (20,50), follow these steps.
First, calculate the change in the dependent variable (y-values) by subtracting the initial y-value from the final y-value: 50 - 10 = 40.
Next, determine the change in the independent variable (x-values) by subtracting the initial x-value from the final x-value: 20 - 4 = 16.
Finally, compute the unit rate by dividing the change in y by the change in x: 40 / 16 = 2.5.
The unit rate of 2.5 signifies the constant rate of change of the variable represented by the graph.
In this context, it reveals that for every one-unit increase in the independent variable, the dependent variable increases by 2.5 units.
The probable question may be:
How can the unit rate be determined from the graph depicting a line passing through the points (4,10) and (20,50)?