MATH SOLVE

3 months ago

Q:
# A population of bacteria doubles every 18 hours. Initially, the population of bacteria is 50. What is the population of the bacteria after 60 hours? Round your answer to the nearest whole number.

Accepted Solution

A:

Hello!The answer is: After 60 hours the population of bacteria will be 504Why?We can calculate the total population using the following equation:[tex]Total(t)=Start*2^{\frac{t}{18}}[/tex]Where:Total(t) is equal to the total populationStart is equal to the start populationT is equal to the time in hoursFor example, from the statement we know that the population of bacterias doubles every hours, so, using the formula we have:[tex]Total(18)=50*2^{\frac{18}{18}}=100[/tex] It proves that every 18 hours, the population of bacterias doubles it size.We are asked to calculate the popualation after 60 hours, so:[tex]Total(60)=50*2^{\frac{60}{18}}=503.96=504[/tex]So, after 60 hours the population of bacteria will be 504.Have a nice day!