Question

Someone tell me how I can model this equation in a real-world situation, please?

"Write a real-world situation that can be modeled by y = 3^t

Explain how you would modify your situation if the equation was changed to y = 2(3)^t

If the equation were rewritten in the form y = b(1 + r)^t, what would be the value of r?"

Answer 1

let us say you have a population that triples itself with in an hour with an initial population of 2.

Answer 2

I don't quite understand..

Answer 3

I am giving you a real world problem that can be modeled by
\[2(3^{t})\]

Answer 4

does this make sense

Answer 5

Almost, but what does t represent in the real-world situation?

Answer 6

in usual cases it stands for the time it takes for the phenomenon it attain a certain state.

Answer 7

y could be bacteria
t could be time?
The growth of bacteria is 3^time(seconds)

Answer 8

in usual cases it stands for the time it takes for the phenomenon to attain a certain state.

Answer 9

yes y can be the number of bacteria in a culture.

Answer 10

so t = time, yes?

Answer 11

yes

Answer 12

Yeh you're right :)

Answer 13

but do not limit yourself to this convention because it can be used for other parameters.

Answer 14

So the last thing I need to know is.. what would r be in the last equation form?

Answer 15

it is the rate of multiplication.

Answer 16

Yes, getusel is right. It doesn't have to be bacteria; anything with exponential growth over time or anything else you can think of

Answer 17

sure

Answer 18

Okey dokey (: Thank you both! I want to give you both medals but I can only give them to one of you ): @getusel can you give @ScottB05 a medal and I'll give you one? I'd just feel bad if you both didn''t get one lol, because you both helped.

Answer 19

okay