On January 8th ten studens come down with the flu Assume tha

On January 8th ten studens come down with the flu. Assume that each day, the number of students who come down with the flu doubles. Let f(t) represent the number of students the number of students who come down with the flu at t days after January 8th.

i) Find an equation for f

ii) Find f(7) what does your result mean in terms of the situation?

Solution

On January 8th ten studens come down with the flu.

the number of students who come down with the flu doubles.

i) f(t) = (10)(2)^t

ii) f(7) = 10(2)^7 = 1280 no. of students