Question

​An object is moving in a straight line from a starting point. The distance, in meters, from the starting point at selected times, in seconds, is given in the table. If the pattern is consistent, which of the following statements about the rate of change of the rates of change of distance over time is true?

Answer 1

The rate of change is 4 meters per second and the object is neither speeding up or slowing down. The correct option is C.

Using the information in the table given ;

Rate of change = Change in distance/ change in time

Using the pair of points ;

• (1, 1) ; (11 , 41)

Change in distance = (41 - 1) = 40

Change in time = (11 - 1) = 10

Rate of change = 40/10 = 4

The since the rate of change is consistent, there is no increase or decrease in speed .

Hence, the correct option is C.