What is the rate of growth?

Question

anonymous · Answer

x	F(x)
0	22.00
1	21.56
2	21.13

anonymous · Answer

@mathstudent55 Can you help?

anonymous · Answer

Graph the points and then find the slope..It is the same

anonymous · Answer

@sleepyjess

sleepyjess · Answer

Well this is interesting... it goes from the starting point, then up, then down...

anonymous · Answer

This is decreasing, right? But I don't know why the question asks the growth rate for this.

anonymous · Answer

Do you know how to explain this?

zepdrix · Answer

Growth Rate? So I guess we're thinking of this in  terms of an exponential function.

So we'll take the second amount, and divide it by the original starting amount.
That will tell us how much it grew/shrunk by.$$\Large\rm \frac{21.56}{22.00}=0.98$$

zepdrix · Answer

So we're left with 98% of the original amount after x changes by 1.

zepdrix · Answer

If we wanted to write the equation for this, it would be something like,$$\Large\rm y=22(0.98)^x$$

zepdrix · Answer

So it looks like it's actually SHRINKING by 2% each time, ya?

anonymous · Answer

Yes that was exactly what I was thinking. So the rate of change is 98%?

anonymous · Answer

I mean sorry

zepdrix · Answer

I guess we would say that ummmmmm

anonymous · Answer

So it is not 2%?

zepdrix · Answer

Ahh the wording is so weird >.<
So like.. we're left with 98% of the previous amount each time.
But our growth rate? I guess our growth rate is -2%, right? :o
Mmmm thinkingggg

anonymous · Answer

Ok thank you for the help though :)