Abacteria population doubles every 4 hours. there are currently 2,000 bacteria in a restricted area. if t represents the time, in hours, and p(t) is the population of bacteria with respect to time, about how many bacteria will there be in 30 minutes?

The bacteria population doubles in 4 hours.

So, in 1 hour it increases by x/4 of its population, where x is population.

So in 1/2 hours or 30 minutes, the increase will be x/4 × 1/2 = x/8

=> if we start with 4000 bacterias, population increase after 30 minutes is 4000× 1/8 = 500

So, 500 more bacterias were added

Total bacterias = 4000+500 = 4500 bacterias

(a) the volume of the cone is 20/3 in3

hence, option a is correct.