SOLUTION: A contagious disease is infecting residents of a town of 7,300 residents. The number of residents infected t days after the disease has begun is given by the function {{{f(t)=(

Question 150022: A contagious disease is infecting residents of a town of 7,300 residents.
The number of residents infected t days after the disease has begun is given by the function

How many residents are infected with the disease after 6 days?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Plug in .

Multiply -0.5 and 6 to get -3

Raise "e" to the negative 3rd power to get 0.04979

Multiply 500 and 0.04979 to get 24.895

Add 1 to 24.895 to get 25.895

Divide

So rounding to the nearest whole number (since 0.9077 of a person doesn't make sense), we get 282 people.

So after 6 days, about 282 residents are infected.

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