Vanessa4568888
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20 Points!!!

A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What function estimates the height, H, in cm of the ping pong ball after x bounces?

Enter a number in each empty box to correctly complete the function.

H = ____ (____)^x

Respuesta :

musiclover10045

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

anuksha0456

The answer to the given expression is:

H = 60(3/4)^x

What do we mean by exponents?

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

How do we solve for H?

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

https://brainly.com/question/11464095

#SPJ2

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