A basketball drops from a height of 76 in. On bounce 1, it rebounds to a height of 38 in. On bounce 2, it rebounds to a height of 19 in. How high does the basketball bounce on bounce 3?

----
A. 9 inches

B. 19 inches

C. 9.5 inches

D. 4.75 inches

Bn+1 = k * Bn

38 = k * 76
k = .5

yes, 19 = .5 * 38

.5 * 19 = 9.5 the end

In which quadrant does the point lie? Write the coordinates of the point.

Point B

A. quadrant II; (–2, –4)

B. quadrant III; (2, 4)

C. quadrant III; (–2, –4)

D. quadrant IV; (–4, –2)

quadrantlll (-2,-4)

To find out how high the basketball bounces on bounce 3, we need to apply a mathematical pattern. Each time the basketball bounces, it rebounds to half the height of the previous bounce.

On bounce 1, the basketball rebounds to a height of 38 inches.
On bounce 2, the basketball rebounds to a height of 19 inches.

Since each bounce is half the height of the previous bounce, we can calculate the height of the third bounce.

To get to the third bounce, we need to continue dividing by 2.

19/2 = 9.5

Therefore, on the third bounce, the basketball would bounce to a height of 9.5 inches.

The correct answer is:

C. 9.5 inches