Answer: The correct option is C.
Explanation:
We have to find the value of y coordinate when x=0 and x=2, to check the relative between x and y is positive or negative. If the relationship is positive than the slope is positive otherwise negative.
If slope is positive it means the rate of change is positive and if slope is negative it means the rate of change is negative.
In figure 1 the two points are (0,-3) and (2,0.5). It means as x increases the value of y is also increases. It shows the positive relation between x and y, So, the rate of change is positive and option 1 is incorrect.
In figure 2 the two points are (0,-3) and (2,0). It means as x increases the value of y is also increases. It shows the positive relation between x and y, So, the rate of change is positive and option 2 is incorrect.
In figure 3 the two points are (0,2.5) and (2,0.5). It means as x increases the value of y is decreases. It shows the negative relation between x and y, So, the rate of change is negative and option 3 is correct.
In figure 4 the two points are (0,-3) and (2,-3.5). It means as x increases the value of y is decreases. It shows the negative relation between x and y, So, the rate of change is negative but at x=1.5 the curve turns, it means the rate changed at that point and option 4 is incorrect.
