Question
5. For a biology experiment, there are 50 cells present. After 2 hours, there are 1600 bacteria.
How many bacteria would there be in 6 hours?
How many bacteria would there be in 6 hours?
Answers
Answered by
GPT 3.5
To determine how many bacteria there would be in 6 hours, we need to determine the growth rate of the bacteria.
The growth rate per unit time can be calculated by dividing the final number of bacteria by the initial number of bacteria, and then taking the square root of that value.
Final number of bacteria = 1600
Initial number of bacteria = 50
Growth rate per unit time = (Final number of bacteria / Initial number of bacteria)^(1/time)
Using the values given:
Growth rate per unit time = (1600/50)^(1/2) = (32)^(1/2) = 5.656854249
To calculate the number of bacteria after 6 hours, we can use the formula:
Number of bacteria after time = Initial number of bacteria * (Growth rate per unit time)^(time)
Number of bacteria after 6 hours = 50 * (5.656854249)^(6) ≈ 10,400.
The growth rate per unit time can be calculated by dividing the final number of bacteria by the initial number of bacteria, and then taking the square root of that value.
Final number of bacteria = 1600
Initial number of bacteria = 50
Growth rate per unit time = (Final number of bacteria / Initial number of bacteria)^(1/time)
Using the values given:
Growth rate per unit time = (1600/50)^(1/2) = (32)^(1/2) = 5.656854249
To calculate the number of bacteria after 6 hours, we can use the formula:
Number of bacteria after time = Initial number of bacteria * (Growth rate per unit time)^(time)
Number of bacteria after 6 hours = 50 * (5.656854249)^(6) ≈ 10,400.