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

Question

3 years ago

6

days after inoculation?

2 answers:

meriva · Answer 1 · 2021-12-20T01:27:06+03:00

meriva3 years ago

8 0

Answer:

2313

Step-by-step explanation:

A = P(1+r)^t

where A is the final amount, P is the initial amount, r is the rate, and t is time.

Here, P = 1000, r = 0.15, and t = 6.

A = 1000(1.15)^6

A ≈ 2313

Leto [7] · Answer 2 · 2021-12-19T23:25:04+03:00

<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

$P_n=P_0(1+r)^n$

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

$P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313$

Number of bacteria after 6 days = 2313