Question

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?

y = 1,000(1.15)6; 2,313 bacteria
y = 1,000(1.15)7; 2,660 bacteria
y = 1,000(1.5)5; 7,594 bacteria
y = 1,000(1.5)6; 11,391 bacteria

Answer 1

Use the exponential growth formula A = P(1 + r)^t. Here P = 1000, r = 0.15, t = 6:

A = 1000(1.15)^6 ≈ 1000 × 2.3130608 ≈ 2,313 bacteria.

So the first option is correct.