Answer:
Step-by-step explanation:
The rate of change is a just a fancy name for slope.
First let's calculate the slope of the line in the graph.
We see it passes through the points (3,2) and (0,-2), so the slope is:
So the reference slope is 4/3.
Next step is to identify, among the proposed solutions, the one that have a steepest slope than 4/3 (1.33). In the equations, the slope is the coefficient of the x element.
A. 13/7 - Greater than 4/3? Yes (1.86)
B. 7/5 - Greater than 4/3? Yes (1.4)
C. 11/8 - Greater than 4/3? Yes (1.375)
D. 5/4 - Greater than 4/3? No (1.25)
E. 5/3 - Greater than 4/3? Yes (1.66)
So, only D (5/4) is smaller than 4/3. Among the 4 others, which one has the lowest slope?
11/8 has the lowest slope that is higher than 4/3.