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A culture contains 1,300 bacteria. The bacteria grow to 2,000 in 10 hours. What is the rate at which the bacteria grow per hour to the nearest tenth of a percent?

a. 53.8%

b. 62.3%

c. 73.1%

d. 84.6%

1 Answer

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Final answer:

The growth rate of the bacteria per hour is 53.8% when the population increases from 1,300 to 2,000 over 10 hours.

Step-by-step explanation:

The student has asked to find the rate at which bacteria grow per hour. Starting with an initial count of 1,300 bacteria and growing to 2,000 in 10 hours, we can calculate the hourly growth rate. To find the rate, we need to calculate the percentage increase per hour. The formula for percentage growth rate is ((final amount - initial amount) / initial amount) * 100. In this case:

Rate = ((2000 - 1300) / 1300) * 100

Rate = (700 / 1300) * 100

Rate = 0.5385 * 100

Rate = 53.85%

Therefore, the bacteria grow at an average rate of 53.8% per hour to the nearest tenth of a percent.

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