Question

Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x
Medal, fan, and testimonial for quick accurate responses!!!

Answer 1

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Answer 2

@pooja195 @johnweldon1993 @cmtboy2

Answer 3

:)

Answer 4

can anyone help? I don't understand how to do it

Answer 5

?

Answer 6

Initial Amount is x = 0

Answer 7

\[y = a b^{x}\] Take this general equation.
You can see that as \[x \ increases\ b^x \ increases \]
similarly \[x \ decreases\ b^x \ decreases \]
and value of a will not change because there is no variable factor like x with it.

Answer 8

I can try. But not right now.

Answer 9

can you walk be through it step by step with my problem?

Answer 10

Did you understand it for general equation? Where you have doubt?

Answer 11

I don't understand it. I have no clue what to do.

Answer 12

ok be relax.

Answer 13

g(x)=14*2^x

Answer 14

you know that \[2^2, 2^3, 2^ 4....\]
Here you can see that as the power of 2 increases its value increases.
Now \[2^2, 3^2, 4^2, 5^2...\]
Here its exponent is constant but base value is changing which affecting the overall value.

Answer 15

ok

Answer 16

So you know that value in this sequence \[2,2^2,2^3,2^4,....\], in this continuous sequence you can see 2 is changing the previous value
\[2^2 = 2.2 \\ 2^3 = 2^2.2 \\2^4 = 2^3.2\]
So everytime 2 has effect on the growth of the sequence

Answer 17

ok.....

Answer 18

so in your equation which value/term you think is growth factor?

Answer 19

i have no clue. Can you explain it differently? Or someone else explain it?

Answer 20

14, 2, x which you think is initial amount which is not changing relate it to this
\[g(x) = ab^x\]

Answer 21

I'm sorry. I get that you are trying to explain this, but i have no clue what you mean

Answer 22

growth factor is a value which multiplies itself over time. Suppose our hair, in our initial days our hair was small but with years they are getting longer so each day/months/year its getting long even by 1cm per month. So here growth factor is 1. Similarly for \[g(x) = 14.2^x\] here 2 is getting multiple by itself x number of times.
You can take 2 as hair growing per year and x as your age or any age.

Answer 23

ok....

Answer 24

nevermind. this isn't helping. It's been an hour and i have learned nothing. i am going to email my teacher and hope she responds.

Answer 25

Really sorry for that. Hope I will improve in the teaching aspects.