Question

John shot a toy rocket into the air. Consider the graph below which shows the relationship between the height of the rocket from ground level and the time elapsed.
Which statement best interprets information provided by the graph?

A. The height of the rocket changes at a constant rate for the entire time.
B. The height of the rocket increases for some time and then decreases for some time.
C. The height of the rocket remains constant for some time.
D. The height of the rocket decreases for some time and then increases for some time.

Answer 1

The height of the rocket increases for some time and then decreases for some time.

The height from the ground increases from 4 to 26, then decreases from 26 to 0.

Why the others are wrong.

A. The height of the rocket changes at a constant rate for the entire time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

C. The height of the rocket remains constant for some time.

The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.

D. The height of the rocket decreases for some time and then increases for some time.

This implies the graph decreases first then increases. However, the rocket will increase, then decrease.