Bacteria X has a growth rate of 170 % per hour. Some amount of bacteria X are accidentally introduced into some fruit salad. Two hours after contamination, there were 40,000 bacteria X in the fruit salad.

Drew Williamson

Drew Williamson

Answered question

2022-09-06

Bacteria X has a growth rate of 170 % per hour. Some amount of bacteria X are accidentally introduced into some fruit salad. Two hours after contamination, there were 40,000 bacteria X in the fruit salad.

Answer & Explanation

Zara Pratt

Zara Pratt

Beginner2022-09-07Added 12 answers

Answer:
From the growth model of bacteria
N t = N 0 ( 1 + r 100 ) t 40000 = N 0 ( 1 + 170 100 ) 2 40000 = N 0 ( 2.7 ) 2 N 0 = 40000 ( 2.7 ) 2 N 0 = 5486.9686
Number of bacteria in the food 3 hours after contamination:
N t = N 0 ( 1 + r 100 ) N t = 5486.9686 ( 1 + 170 100 ) 3 N t = 108000

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?