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barxatty [35]
1 year ago
13

Justin launches a rocket straight up into the air. The table below gives the height(t) of the rocket (in meters) at a few times

t (in seconds) during its flight.
FIND THE AVERAGE RATE OF CHANGE!

Mathematics
1 answer:
Papessa [141]1 year ago
3 0

Using it's formula, the average rates of change are given as follows:

a) 30 meters per second.

b) -10 meters per second.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

r = \frac{f(b) - f(a)}{b - a}

For item a, taking the data from the table, we have that:

  • f(0) = 0.
  • f(4.6) = 138.

Hence the rate is given as follows:

r = (138 - 0)/(4.6 - 0) = 30 meters per second.

For item b, taking the data from the table, we have that:

  • f(9.2) = 23.
  • f(11.5) = 0.

Hence the rate is given as follows:

r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

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Answer:

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Step-by-step explanation:

First term a₁ = -21  (Given)

…………………………………

Second term a₂ :

a₂ = a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28

…………………………………

Third term a₃ :

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…………………………………

Fourth term a₄ :

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