After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounceAfter the first bounce it reaches a height of 125 inchesHow high (in inches) will it reach after its fourth bounce?

A20
B15
C8
D5
E3.2

Respuesta :

Answer:

8 inches.

Step-by-step explanation:

In the first bounce, the height that the ball reaches was 125 inches.

If the ball always bounces back to [tex]\frac{2}{5}[/tex] of the height, then after 2nd bounce it will reach [tex](125 \times \frac{2}{5}) = 50[/tex] inches height.

Again, after 3rd bounce, it will reach [tex](50 \times \frac{2}{5}) = 20[/tex] inches height.

And, after 4th bounce, it will reach [tex](20 \times \frac{2}{5}) = 8[/tex] inches height. (Answer)