Question

A growth medium is inoculated with 1,000 bactena, which grow at a rate of 15% each day What is the per

culture 6 days after inoculation?
y=1000(1 15) 2,313 bactena
y=1000(1 15) 2,660 bacteria
y=1000(15)° 7.594 bacteria
y = 1.000(15). 11,391 bactena
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Answer 1

`y=1,000(1.15)^x`

`2,313\ bacteria`

Explanation:

we know that

The equation of a exponential growth function is given by

`y=a(1+r)^x`

where

y is the number of bacteria

a is the initial value

x is the number of days

r is the rate of change

we have

`a=1,000\ bacteria\\r=15\%=15/100=0.15`

substitute

`y=1,000(1+0.15)^x`

`y=1,000(1.15)^x`

For x=6 days

substitute the value of x in the equation

`y=1,000(1.15)^6=2,313\ bacteria`