SOLUTION: The growth of bacteria in a particular food product can be modeled using a Malthusian model with a growth rate of 10% per day. The product cannot be eaten once the bacterial count

Question 1005360: The growth of bacteria in a particular food product can be modeled using a Malthusian model with a growth rate of 10% per day. The product cannot be eaten once the bacterial count reaches 3,200,000. If there are initially 400 bacteria present, about how many days will it take before the product is inedible? Setup an equation and solve. Label your answer and round it to the nearest full day.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The growth of bacteria in a particular food product can be modeled using a Malthusian model with a growth rate of 10% per day. The product cannot be eaten once the bacterial count reaches 3,200,000. If there are initially 400 bacteria present, about how many days will it take before the product is inedible? Setup an equation and solve. Label your answer and round it to the nearest full day.
-------------
3200,000 = 400*(1.10)^x
----
8000 = 1.10^x
----
x = log(8000)/log(1.10) = 94 days when rounded down
----------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS
The spread of hoof and mouth disease through a herd of cattle can be modeled using a... (answered by fractalier)

in 1999, the male population of the united states was about 133 million, and the female... (answered by stanbon)

The following equation represents the growth of bacteria in a particular food product,... (answered by greenestamps)

The following equation represents the growth of bacteria in a particular food product,... (answered by josgarithmetic)

Given that a deer population of 50 animals is increasing at a rate r of 0.4, how many... (answered by josgarithmetic)

The number of bacteria in a certain population increases according to a continuous... (answered by josgarithmetic)

The bacteria in an old piece of cheese is growing at a rate that can be modeled by y =... (answered by Lightning_Fast)

The number of bacteria in a certain population increases according to a continuous... (answered by rothauserc)

The number of bacteria in a certain population increases according to a continuous... (answered by Theo)