Posted by **Sam** on Friday, January 18, 2013 at 1:24pm.

#5. If a rancher has one cow with a contagious disease in a herd of 1000, then the time in days “t” for “n” of the cows to become infected is modelled by:

t= -5ln((1000-n)/999n

where “ln()” stands for natural logarithm function.

a) Find the number of days that it takes for the disease to spread to 100, 200, 998, and 999 cows.

b) Graph the number of infected cows in the x-axis versus the time in days it takes for infection in the y-axis.

This model, called a logistic growth model, describes how a disease can spread very rapidly at first and then very slowly as nearly all of the population has become infected.

- Math -
**Sam**, Friday, January 18, 2013 at 8:10pm
100, 23.55

200, 27.6

998, 65.6

999, 69,1 and you can find points in between to make your graph, It will be an upward graph to the left

- Math -
**Sam**, Friday, January 18, 2013 at 8:11pm
Sorry to the right

## Answer This Question

## Related Questions

- algebra - A contagious disease is infecting residents of a town of 7,300 ...
- Algebra - A contagious disease is infecting residents of a town of 7,300 ...
- math - a framer divides his herd of cows anong his 4 sons, one get 1/2, second ...
- Math - Scientists are researching a contagious disease. They found that, on ...
- science - 3. Which of the following is an example of inbreeding? A farmer ...
- Math - A farmer died and left 17 cows to be divided among three workers. The ...
- economics - 3. Farmer Jones and Farmer Smith graze their cattle on the same ...
- history - i need to invent a terrible disease myself that has been detected in ...
- science - Which of the following is an example of inbreeding? A) a farmer ...
- Calculus - During a certain epidemic, the number of people that are infected at ...

More Related Questions