Question

Function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120 x (4/5)^n.

What is h(3) ?

What does h(3) represent in this situation?

Answer 1

To find h(3), we calculate 120 x (4/5)^3, which equals 61.44 inches. This value represents the height of the ball after three bounces.

Step-by-step explanation:

To calculate h(3), we input 3 for n in the given function h(n) = 120 x (4/5)n. So, h(3) = 120 x (4/5)3. To solve this, we first calculate (4/5)3, which is 4/5 x 4/5 x 4/5, or 64/125. Then, we multiply this result by 120 to get the height.

h(3) = 120 x 64/125 = 120 x 0.512 = 61.44 inches.

In the context of the problem, h(3) represents the height of the ball, in inches, after it has bounced three times. It tells us how high the ball will bounce on its third bounce.

Answer 2

Step-by-step explanation:

h(3) = 120*(4/5)^3, which evaluates to 120(64/125), or 61.64.

What does this mean: After 3 bounces the height of the ball is 61.64 ft.