Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:
It is given by the change in the <u>output divided by the change in input</u>.
Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Answer:
An exponential function
Step-by-step explanation:
So let's suppose that at 9:00 am there were 132 cars. We'll call this
On the next half an hour, let's say at 9:30, the number of cars trippled, this is:
the next half an hour, at 10:00 am, the number of cars trippled, this is:
and finaly, at 10:30am, the number of cars trippled again, so:
We can now see a pattern there which can be simplified as:
or
where:
initial number of cars
n=number of half hours after 9:00 a.m
number of cars after n number of half hours.
That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.