Question

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!

Answer 1

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

a) 30 meters per second.

b) -10 meters per second.

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output divided by the change in the input. 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

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