Question

What is the standard form for an exponential equation? Explain how you know if an exponential equation shows growth or decay.

Answer 1

Wait what are these questions for

Answer 2

Like a test a question hw or what?

Answer 3

my assignment

Answer 4

Oh ok I jus didn’t wanna be helping on a test bc that’s not allowed

Answer 5

Dang I can’t figure it out

Answer 6

hmm, maybe ask @Convert for the standard form, bc i don't remember. I have it in my notes that it's written as \[a \times (b)^x\]
but i'm not 100% sure. For the how you can tell if it's a growth or decay--If the b is greater than one, we have a growth and if it's less than one, we have a decay. Let me show you some examples.

`Growth:` \[f(x)=1500(1.074)^x\]
our "b"--what's in the parentheses--is greater than one.
`Decay:`
\[f(x)=200(0.5)^x\]
0.5<1 so it's a decay.
hopefully this helps, i'd just ask Convert about the standard form.

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @mxddi3
hmm, maybe ask @Convert for the standard form, bc i don't remember. I have it in my notes that it's written as \[a \times (b)^x\]
but i'm not 100% sure. For the how you can tell if it's a growth or decay--If the b is greater than one, we have a growth and if it's less than one, we have a decay. Let me show you some examples.

`Growth:` \[f(x)=1500(1.074)^x\]
our "b"--what's in the parentheses--is greater than one.
`Decay:`
\[f(x)=200(0.5)^x\]
0.5<1 so it's a decay.
hopefully this helps, i'd just ask Convert about the standard form.
\(\color{#0cbb34}{\text{End of Quote}}\)
I think that’s a pretty good explanation

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @mxddi3
hmm, maybe ask @Convert for the standard form, bc i don't remember. I have it in my notes that it's written as \[a \times (b)^x\]
but i'm not 100% sure. For the how you can tell if it's a growth or decay--If the b is greater than one, we have a growth and if it's less than one, we have a decay. Let me show you some examples.

`Growth:` \[f(x)=1500(1.074)^x\]
our "b"--what's in the parentheses--is greater than one.
`Decay:`
\[f(x)=200(0.5)^x\]
0.5<1 so it's a decay.
hopefully this helps, i'd just ask Convert about the standard form.
\(\color{#0cbb34}{\text{End of Quote}}\)
Yeah what you said looks good :). The equation would be f(x) = a(b)^x, where a is the initial amount, and b is the growth factor or amount grown but cannot be 1 because 1^1 is always 1.