Question

The exponential function f(x)=100(0.7)^x models Exponential (Growth/Decay) and the rate of (Growth/Decay) is (7%/30%/70%/130%).

Answer 1

Answer:

Exponential Functions, eh?

Step-by-step explanation:

First we have to know if it is growth or decay!

(HINT: look inside the parentheses, there's that value I am talking about)

If that value(forgot the variable that was supposed to represent it) is below 1 and above 0, it is decay. If it's greater than 1, it's growth, as the value increases with each larger x-value.

So, It's 0.7, so it's Decay.

The rate of decay depends on the value again. The rate of decay is:

$1-Value=Rate Of Decay$

So, using substitution:

$1-0.7=0.3$

And because percents, we have to multiply it by 100 to get our percentage.

$0.3*100=30%$

(The percentage sign would not come up)

The Rate of Decay is 30%

Hope this Helps!