Question

Under ideal conditions a certain bacteria population is known to double every four hours. Suppose that there are initially 50 bacteria.

(b) What is the size of the population after t hours?

(c) What is the size of the population after 17 hours? (Round your answer to the nearest whole number.)

Answer 1

(b) a = 50 * 2^(t/4)

(c) 951

Explanation:

After t hours

a = 50 * 2^(t/4)

After 17 hours

a = 50 * 2^(17/4)

a = 50 * 2^(4.25)

Use calculator

a = 951.3656920022

Rounded

a = 951