Calculus Problems

Question

6) In a given community, the number of thousands of people infected with a strain of flu t weeks after the outbreak can be modeled by the function Q(t)= 20.2/1+19.3e^-1.2t.

A) How many people were infected two weeks after the outbreak?

B) After how many weeks will there be 20 thousand people infected?

Answer 1

1) Plug in 2 for t in the equation.

2) Plug in 20 for Q and solve for t (you will have to take a ln at some point).