During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by the following.
Q(t) = 7000/1+249 eā0.6 t
(b) How many children had the flu after 10 days?
I am sure you meant:
Q(t) = 7000/(1 + 249 e^(-.6t) )
Q(10) = 7000/(1 + 249 e^(-.6(10) ) )
= appr 4328
To find the number of children who had the flu after 10 days, we need to substitute t = 10 into the given equation Q(t) = 7000 / (1 + 249e^(-0.6t)).
Let's solve it step by step:
Step 1: Substitute t = 10 into the equation.
Q(10) = 7000 / (1 + 249e^(-0.6 * 10))
Step 2: Calculate the exponent.
Q(10) = 7000 / (1 + 249e^(-6))
Step 3: Simplify the equation.
Q(10) = 7000 / (1 + 249e^(-6))
= 7000 / (1 + 249 * 0.002478752)
= 7000 / (1 + 0.61695)
= 7000 / 1.61695
ā 4325.74
Therefore, approximately 4326 children had the flu after 10 days during the flu epidemic in the Woodbridge Community School System.