A function f has the form f(x)=Ae^(kx). Find f if it is known that f(0) = 80 and f(1) = 144.

Sonia Elliott

Sonia Elliott

Answered question

2022-10-21

A function f has the form f ( x ) = A e k x . Find f if it is known that f(0) = 80 and f(1) = 144.

Answer & Explanation

plomet6a

plomet6a

Beginner2022-10-22Added 20 answers

f ( x ) = A e k x
given f ( 0 ) = 80 80 = A e 0 80 = A A = 80
form f ( x ) = 80 e k x
given f ( 1 ) = 144 144 = 8 e k e k = 144 8 = 18 k = ln ( 18 )
from f ( x ) = 80 e ln ( 18 ) x

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