Question

Which of the following options results in a graph that shows exponential decay?

A- f(x) = 0.6(2)x
B- f(x) = 3(0.7)x
C- f(x) = 0.4(1.6)x
D- f(x) = 20(3)x

Answer 1

so you want the number inside the parenthesis that's less than 1

Answer 2

So what is the possible answer?

Answer 3

C ?

Answer 4

that's how you get exponential DECAY

if you want exponential GROWTH, the number inside the parenthesis should be greater than 1

Answer 5

Close, but no.

Answer 6

no its B?

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @kenzie126
no its B?
\(\color{#0cbb34}{\text{End of Quote}}\)

correct

Answer 8

CORRECT!

Answer 9

thank you

Answer 10

think of it like this

a number less than 1 times itself will be a smaller number

so 0.5 * 0.5 = 0.25

Answer 11

but if you have a number greater than 1, like

5 * 5 = 25

you get a number bigger than the original number

Answer 12

so you want that number (a)^x

that number 'a' that's being raised to the power of `x`

you want that number `a` to be less than 1 for it to give you exponential DECAY

and it has to be greater than 1 for exponential GROWTH

Answer 13

does that make sense? @kenzie126