AM-1086

Exponential and logarithmic models

A Math · Secondary 4 · Hard · Exponential and logarithmic models

The population

P

of a bacteria culture is modelled by

P=ke^{0.5t}+m

, where

t

is the time in hours and

k,m

are constants. Initially,

P=800

. After 2 hours,

P=2600

. Find the value of

k

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