Question

A bacteria population increases exponentially at a rate of r% each day. After 32 days, the population has increased by 309%.find the value of r.

Answer 1

Answer:

1.06×10∧-11

Step-by-step explanation:

p(t) = ke∧t

Δp/Δt = ke∧t

at t = 1    , (1day) , Δp/Δt = ke = R%

ke = R/100 , k =  R/100e

at t = 32

Δp/Δt = ke∧32

ke∧32 = 3.09 = (R/100e) e∧32 = (R/100)e∧31

R = 309/e∧31 = 1.06×10∧-11

Answer 2

$\huge{\textbf{Solution is attached here for you.}}$