Which of the following equations best describes exponential decay?

Question

calculusfunctions · Answer

Where are the equations? Which equations?

calculusfunctions · Answer

In any case, an equation which represents exponential decay, always has a rate between 0 and 1.

solomonzelman · Answer

exponential decay |dw:1399472299870:dw|

anonymous · Answer

A. $$y=a*b ^{x}$$, with 0 < b < 1

B. $$y=a*b ^{x}$$, with $$0 < b \le 1$$

C. $$y=a*b ^{x}$$, with $$0 < x \le 1$$

D. $$y=a*b ^{x}$$, with a>0

solomonzelman · Answer

Which one do you think it is.   (I am not excepting answers without explanations)

anonymous · Answer

I honestly have no idea. I was thinking B, because it has a rate between 0 and 1... :/ but idk

solomonzelman · Answer

Wait...

anonymous · Answer

Wait, what? I can only choose one answer though

solomonzelman · Answer

I am not sure how your choices are really working here....
but the decay is when the greater the x the smaller the y.

solomonzelman · Answer

$\LARGE\color{blue}{ \bf ■ ~~C~~	 }$
times
$\LARGE\color{blue}{ \bf  y=a\times b^{x}	 }$

the greater the x, the smaller is the   $\LARGE\color{blue}{ \bf   b^{x}	 }$
and therefore the smaller is    $\LARGE\color{blue}{ \bf   a\ times  b^{x}	 }$

solomonzelman · Answer

sorry for the mistake I made before.

anonymous · Answer

It's okay. Thank you so much for helping me.

solomonzelman · Answer

ANYTIME