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aev [14]
3 years ago
13

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th

e nth bounce: f(n) = 9(0.7)n What does the number 9 in the function represent?
Mathematics
1 answer:
natali 33 [55]3 years ago
7 0

Answer:

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

f(n)=9(0.7)^{n}

The general formula for the geometric progression modelling this scenario is:

f(n)=f_{0}(r)^{n}

Here,

f_{0} represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

f_{0} = 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

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The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.

<h3>What is the written form of the mathematical expression given in the task content?</h3>

It follows from the task content that the expression given is; 2 − (p + 6).

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