I need help ASAP!

Question

The population p(t) of a culture of bacteria is given by p(t) =-1840t^2+81000t+10000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer 1

IN the function

f(x) = ax² + bx + c

the maximum or minimum occurs are x = -b/2a

In this case at t = -81000 / (2)(1840)