Question

How many hours will it take a culture of bacteria to increase from 20 to 2000 if the growth rate per hour is 85%

Answer 1

Approximately

7.5

hours

Step-by-step explanation:

Step-by-step explanation:

We are trying to determine the value of

h

in the compound growth formula

XXX

20

×

(

1

+

0.85

)

h

=

2000

or, simplified:

XXX

1.85

h

=

100

Taking the

log

1.85

of both sides:

XXX

log

1.85

100

With the aid of my trusty spreadsheet:

XXX

h

≈

7.48582192