A student comes to school with a highly contagious flu virus at a high school with
1030 students. The spread of the virus is modeled by

P(t) = 1030/ 1+1029e⁻ᵏᵗ

Where P is the total number of students infected after t days.
After 3 days, 121 students are infected. Complete the model P(t) by solving for k