Question

What would be a possible formula for the exponential graph attached inside?

y(x)=____________________

**not really sure what the format is for this :/ please explain? :)

Answer 1

graph! :)

Answer 2

You should have a general formula for it, or something. Otherwise there's too many possibilities of what you should start with.

it could be
y = a^(kx) or y = k*a^x or y = k*a^(bx)

Answer 3

oh okay.... so any of those work? :/

how do we choose which one to use?

Answer 4

You should be able to decide based on the chapter in the book, there should be a general exponential formula.

Answer 5

Because there's more than those...like

y = k*a^(bx+c)

Answer 6

ermm for this chapter, I think the one we used was P=Poa^t

but that's for population right? :/

Answer 7

or this one
P=Poe^kt

we went over both :/

Answer 8

Then use that. You have two points, plug them into the formula, and then you'll have to use both equations to find Po and a.

Answer 9

using the Poa^t formula?

Answer 10

yes

Answer 11

okay, so (-1,16) and (1,4)

i forgot, how am i supposed to plug in though?

Answer 12

You plug them in by... plugging them in.

P=Poa^t and you have points which will be (t, P)

Answer 13

oh okay..

so 16=Poa^-1 ?

and 4=Poa^1 ?

Answer 14

yup , then solve for Po and a

Answer 15

how do i solve for Po and a? :/

Answer 16

how can you not know how to solve?

Answer 17

a^1 = a
a^(-1) = 1/a
that's it

Answer 18

ohh sorrry i forgot that Po can include the variable..

so you get Po= 16a?

and Po=4 ?

Answer 19

if so, would the equations be y(x)=16a(1/a)^t ?

and y(x)=4(1)^t ? :/ not sure.... i'm kinda confused on this :(

Answer 20

16= Po/a --> 16a = Po replace to the second one
4 = Po a

Answer 21

4 = 16a^2 --> a^2 = 1/4 --> a= 1/2

Answer 22

Yes/ No??

Answer 23

ohh okay

so now we work towards making the equation with those values?

Answer 24

yes :)

Answer 25

still have Po. what is it? Po =?

Answer 26

4=Po(1/2)^1
4=Po(.5)
8=Po

?? :/

Answer 27

yup, plug back to get the whole answer, what is the equation of the line?

Answer 28

y(x)=8(1/2)^t ?

Answer 29

yup

Answer 30

or am i supposed to make the t be 1?

Answer 31

wait so just leave it as t ?

Answer 32

be x hehehe, not be t

Answer 33

y (x) = 8*(1/2)^x

Answer 34

don't trust me at detail. trust yourself.

Answer 35

ohh okay :)

haha okay :)

wait how come it becomes x instead of t?

Answer 36

is it because you're subbing the x value there?

Answer 37

"What would be a possible formula for the exponential graph attached inside?

y(x)=____________________"

that's why

Answer 38

because I inherit agent0smith stuff, he used t, so, I follow what he guide you

Answer 39

ohhh hahaha okie :) thanks you guys!! :)

Answer 40

because the graph shows x as the horizontal axis

Answer 41

ohh okay :)

i'll have to make sure to remember that :) thank you for all your help!!! :)