SOLUTION: Before the advent of antibiotics an outbreak of cholera might spread through a city so that the number of cases doubled every 6 days. a. Twenty-six cases were discovered on July

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Question 1058297: Before the advent of antibiotics an outbreak of cholera might spread through a city so that the number of cases doubled every 6 days.
a. Twenty-six cases were discovered on July 5. Write a function for the number of cases of cholera t days later.
b) Graph your function on the interval 0 ≤ t ≤ 30.
c) How long will it be before a $20,000 mobile home decreciates to $12,800?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=p%2A2%5E%28t%2F6%29
When t reaches 6 days, exponent is 1, and the factor applied is 2. This is how p becomes doubled.

Next, use July 5 as t=0. p=26.
highlight%28y=26%2A2%5E%28t%2F6%29%29--------your model.


graph%28400%2C400%2C-5%2C30%2C-5%2C+120%2C26%2A2%5E%28x%2F6%29%29
Not the best graph appearance. Try using google for a better display, or a graphing calculator.