Question

Anyone wanna help? Please! trying to bring my grade up in ALGEBRA 2!

Answer 1

Wendy is looking over some data regarding the strength of some rope and how that relates to its number of woven strands. The data seems to be exponential. How can Wendy determine if the data is exponential, and how can she convert that to a logarithmic function?

Answer 2

well, theres the baisc function:
y=bx

we can scale it, move it along the x axis, and move it along the y axis

Answer 3

y = ab^x - h + k

Answer 4

since only x and y are known .. we would need at least 4 points to determine the 4 unknowns to model

Answer 5

we have no data presented to us so we cant formulate a specific function as is.

Answer 6

so, is this question actually asking for numbers? or ...

Answer 7

the question is asking for a method to determine IF the data is exponential. this is the method i would use ... among a few other ideas

Answer 8

spose we had 4 points we could fill in:
y1=abx1−h+ky2=abx2−h+ky3=abx3−h+ky4=abx4−h+k

we have 4 equations and 4 unknowns, substitution might help to work out way thru it to determine the unknowns. but withoutany specific data this is the best shot we have as an explanation

Answer 9

oh, okay. lol yeah i was unsure of how it was asking me to do the question.

Answer 10

given that, take the general setup and invert it ...., solve for 'x' in terms of 'y'

Answer 11

If so, If Wendy observes the data and sees that output values are each multiplied by a certain number to get the next, then the data is exponential. She can convert the exponential function into a logarithmic function using the formula I showed you above.

Answer 12

wait.. i dont understand... :/

Answer 13

Give me a sec

Answer 14

okay.. Im sorry if im aggrivating you!

Answer 15

If you look at the data, you can tell by multiplying a y value to get to the next by a certain number.
y=bx→logby=x

Answer 16

She can convert the exponential function into a logarithmic function using the formula I showed you above.

Answer 17

If u still dont understand look at this :)

Answer 18

Take two points and see if the data can be mapped to an expression of the form: y = ab^t (where "a" is the initial point on the y axis)

Alternatively, the expression :

y = initial value X e^(kt) can be used where two points can be used to determine the exponential constant "k".

Answer 19

so im supposed to solve it? 0.o

Answer 20

I am so sorry my browser crashed

Answer 21

U can use google to solve this for you

Answer 22

its okay, and how? do i just type it into google??

Answer 23

Yes go ahead

Answer 24

Wait !

Answer 25

y=Abx

to convert it to logarithmic function, take "log" both sides :

log(y)=log(Abx)

By using product property, log of products equals sum of logs :

log(y)=log(A)+log(bx)

Answer 26

this is a logarithm function now !

note that i have changed "e" to "b", just to be more generic

Answer 27

Ok now we're done here :)

Answer 28

well, shoot.. Can you put it into one comment so maybe i can understand better? Because with it being spread out, i think it is confusing me worse...

Answer 29

Look forget Everything I told you before just focus on what i just put right now

Answer 30

okay. So I just need to put this into a few sentences? This is all i need? y=Abx to convert it to logarithmic function, take "log" both sides : log(y)=log(Abx) By using product property, log of products equals sum of logs : log(y)=log(A)+log(bx)
this is a logarithm function now ! note that i have changed "e" to "b", just to be more generic

Answer 31

Exactly There you go. U see ur very smart !!

Answer 32

Awwe, thank you sweetheart! (: I really appreciate your help.

Answer 33

No worrys im here to help :)