Question

What is the decay rate of the function y=0.5(0.83)^x

Answer 1

Please help!

Answer 2

@Mertsj @abb0t @amistre64

Answer 3

maybe they can help you :)

Answer 4

@dan815

Answer 5

lol thanks! my final is tomorrow so i'm freaking out. thanks for trying though! :)

Answer 6

@hartnn

Answer 7

@mathstudent55

Answer 8

well there's all my smart friends :) goodluck and your welcome

Answer 9

the thing being exponentiated i believe

Answer 10

think of it like an interest rate ....

Answer 11

ok...

Answer 12

Like over a period of time?

Answer 13

yes, "x" refers to time span

Answer 14

so you make an x and y graph type thing and sort of resolve for each one?

Answer 15

p0 = k(r)^0
p1 = k(r)^1
p2 = k(r)^2

the rate is the value being ^-ed

Answer 16

ok.

Answer 17

if |r| > 1 it grows

if |r| < 1 it decays

Answer 18

but then don't you have to find at what rate it decays at?

Answer 19

it already gives you its rate ....

Answer 20

on my answer sheet the teacher gaves us it says the answer isr=0.17 i just dont know how she got that.

Answer 21

y = 0.5 (0.83)^x
starting amount rate

Answer 22

*is r=0.17

Answer 23

let me see if im misreading this .....

Answer 24

ok! :)

Answer 25

thank you by the way.

Answer 26

i think i see it now

the rate of change is expressed as: a (1+r)^x

1+r = .83

r = .83 - 1

r = -.17

the negative just means its decaying instead of growing

Answer 27

ok. thank you!!! :)

Answer 28

good luck :)