Option C: is the equation that have a greater rate of change.
Explanation:
From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)
We need to determine the rate of change.
The rate of change can be determined using the formula,
Substituting the any two coordinates in the formula, we get, the slope of the equation.
Let us substitute the coordinates (20,6) and (100,30)
Thus, we have,
Simplifying, we get,
Dividing, we get,
Also, the y - intercept of the equation is
The equation of the line becomes
Thus, the equation that has a greater rate of change is
Hence, Option C is the correct answer.