Question

Can somebody help me? I will medal!

Answer 1

I'm going to post the question and the work I have. But I'm confused so I would like help getting the answer from what I have.

Answer 2

So I'm not sure what numbers to use. Maybe start with 500? It goes up by 50% each time? For that I would do f(x)=500(.5)^x

Answer 3

What was the first question..it says this is the 2nd.

Answer 4

But I'm not sure what numbers to use. And what would my domain and range be? Also, I don't understand the last part

Answer 5

I already did the first

Answer 6

I understood the first, but not the 2nd-4th

Answer 7

And .5 is actually a decrease of 50%

\(f(x) = 500(1 +~?)^x\)

We add 1 to whatever percentage for increase.

So if it's 50% we add 0.50:

\(f(x) = 500(1 + 0.50)^x\)

Answer 8

oh thanks! Now the numbers don't seem weird. But do you think 500 and 50% are good numbers?

Answer 9

Hmm..not really..500 is fine, but 50% is kinda too big..we should do make like 5-10%

Answer 10

ok.

Answer 11

Oh wait, it says a year, so 50% is fine.

Answer 12

oh ok

Answer 13

So we have:

\(f(x) = 500(1.50)^x\)

Answer 14

yes. What's next?

Answer 15

Identify the principal amount, and the growth rate.

\(f(x) = \color{red}{500}(1\color{blue}{.50})^x\)

The red is the principal amount(what we start with), and 0.50 is the growth rate (50% growth)

Answer 16

ok

Answer 17

So that was the other part of the question. Now how do I find the domain and range?

Answer 18

Well, domain is the 'x' values..and 'x' represents years.

So I would say 1-20 is a good domain, since time cannot be negative..

And for the range, we could use something like 1-10000, positive integers, because we cannot have a negative amount of frogs or half of frogs and stuff like that..

Answer 19

Ok

Answer 20

What do you think I should use?

Answer 21

Or instead of saying a specific number, should say 1-20 and 1-10000

Answer 22

1 < x < 20 for domain..

1 < y < 10,000 for range..

Answer 23

Or maybe we should do 500-10,000 since we start with 500 and it increases

500 < y < 10,000 for range

Answer 24

That sounds about it for this part.

Answer 25

@horsegirl27

Answer 26

Sorry had to go but I'm back

Answer 27

What do I do for the last part? @iGreen.

Answer 28

@blurbendy please help explain the last part

Answer 29

Explain how these key features would affect the graph?

Answer 30

yes

Answer 31

well the principal amount will just indicate if you start with a larger y-value or a small one on the graph and the growth rate will ultimately determine the slope or the rate at which y increases from the starting value/principal amount

Answer 32

the domain and range will just put a bound on how high x and y can get

Answer 33

ok thx

Answer 34

any time