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Sauron [17]
3 years ago
7

A child on a swing is pushed just once. The child moves a distance of 10

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

the distance the child travels n  swings after the first is  Distance = 10(0.83)^n . Options A) and D) are identical , so kindly match Distance = 10(0.83)^n  with your answer !

<u>Step-by-step explanation:</u>

Here we have , A child on a swing is pushed just once. The child moves a distance of 10  feet the first swing, and then only 83%  as much as the previous swing for each one after. We need to find Which of the following sequences expresses the distance the child travels n  swings after the first . Let's find out:

Initially the distance is 10 feet from after the first swing . It's given that there is 83% as much as previous distance !

For first swing :

⇒ Distance = S_0 =10(0.83)

For second swing :

⇒ Distance = S_1 =10(0.83)^2

For third swing :

⇒ Distance = S_2 =(10(0.83^2))(0.83) = (S_1)0.83

⇒ Distance = S_2 =10(0.83)^2

So , For n swings :

⇒ Distance = 10(0.83)^n

Therefore , the distance the child travels n  swings after the first is  Distance = 10(0.83)^n .

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