in description.

Question

As we all know the zombie apocalypse starts with a single infected human. We found that 8 hours after the first infected there are 90 total infected. Assuming the population is not smart enough to effectively stop the spread of the zombie virus, and it continues to grow and an exponential rate (Bounded by the population of course) then how long before there are 1,000 infected? 50,000? 1 million? Everyone (7.9 billion)?

Answer 1

A(t) = a₀e^kt

A(8) = e^8k

90 = e^8k

ln 90 = 8k

Calculate k and use it in formula for remainder.