Calculus Question

Question

A graphing calculator is recommended.

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

(a) How many bacteria are there after 3 hours?

__________bacteria

(b) How many bacteria are there after t hours?

y = _____bacteria

(c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)

 __________bacteria

(d) Estimate the time for the population to reach 30,000. (Round your answer to one decimal place.)

_______hr

Answer 1

(b) 100(2)^t/(0.5)

(a) 100(2)^4/(0.5)

(c) 100(2)^(2/3)/(0.5)

(d) 30000 = 100(2)^t/(0.5)