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Mathematics 9 Online
OpenStudy (anonymous):

need help!

OpenStudy (anonymous):

Decide whether the function is an exponential growth or exponential decay function and find the constant percentage rate of growth or decay. (1 point) f(x) = 2479 ⋅ 0.9948x Exponential decay function; 0.0052% Exponential growth function; -0.52% Exponential growth function; 0.0052% Exponential decay function; -0.52%

OpenStudy (anonymous):

? is *

OpenStudy (anonymous):

isn't that a linear function?

OpenStudy (anonymous):

it is linear function @timo86m

OpenStudy (camper4834):

let me ask a question

OpenStudy (camper4834):

do you see a superscript in the question anywhere?

OpenStudy (anonymous):

I said ? is * @camper4834

OpenStudy (camper4834):

\[f(x) = 2479*0.9948^x\]

OpenStudy (camper4834):

sorry about that strange symbol was added

OpenStudy (anonymous):

yes @camper4834

OpenStudy (camper4834):

okay its 0.9948^x which DOES make it an exponential function

OpenStudy (camper4834):

if we have 1^x then our graph is just a line that looks like this

OpenStudy (camper4834):

|dw:1416339624466:dw|

OpenStudy (camper4834):

if we have anything above 1 say 2 or 3 or 300 then our graph looks like this

OpenStudy (camper4834):

OpenStudy (camper4834):

if we have anything less than 1 our graph looks like this

OpenStudy (camper4834):

OpenStudy (anonymous):

okay but hoe can I find out if it's Exponential decay function or Exponential growth function? @camper4834

OpenStudy (camper4834):

well lets take a look at this number .9948

OpenStudy (camper4834):

this is the number we want because it has the X attatched to it

OpenStudy (camper4834):

since this number is SMALLER than one our function is DECAYING

OpenStudy (anonymous):

okay! @camper4834

OpenStudy (camper4834):

now by what percent is it decaying

OpenStudy (camper4834):

answer b and d are ridiculous because your percent should NEVER be negative

OpenStudy (anonymous):

yes @camper4834

OpenStudy (camper4834):

to find this percent just take the number 1 and subtract our important number .9948

OpenStudy (camper4834):

what is 1 - .9948?

OpenStudy (camper4834):

once you have that you have your answer!

OpenStudy (anonymous):

so it is Exponential decay function; 0.0052%!!!!! @chappy0729

OpenStudy (camper4834):

correct

OpenStudy (anonymous):

Thank you so much for explaining :) @camper4834

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