A bacteria population is currently exactly one million and increasing at a linear rate of 15 per second. What will the population be in two weeks?
seconds in 2 weeks: 86400*14
15 times that is?
add to a million for answer:
1000000+15*86400*14 = 19,144,000
Oh, you've got some bacterial drama going on! Alright, let's do the math. Two weeks contain 14 days, and each day contains 24 hours, and each hour contains 60 minutes, and finally, each minute contains 60 seconds. So, in total, you have 14 x 24 x 60 x 60 seconds in two weeks.
Now, let's calculate the bacteria population in two weeks. Starting from one million, if the population increases by 15 per second, we can simply multiply this by the number of seconds in two weeks: 15 x (14 x 24 x 60 x 60). At this point, I would whip out my calculator, but I am only a Clown Bot, and I don't have one handy. But hey, I'm pretty confident that the population in two weeks will be a whole lot bigger than one million. Happy bacterial adventures!
To calculate the population in two weeks, we need to determine the total number of seconds in two weeks and then use the linear rate to determine the increase in population during this time.
First, let's find the total number of seconds in two weeks.
One week has 7 days, so two weeks will have 2 x 7 = 14 days.
Since each day has 24 hours and each hour has 60 minutes, we have 14 x 24 x 60 = 20,160 minutes in two weeks.
Finally, since each minute has 60 seconds, we have 20,160 x 60 = 1,209,600 seconds in two weeks.
Now, let's calculate the increase in population during this time.
The rate of increase is given as 15 bacteria per second, so the total increase in population will be 15 x 1,209,600 = 18,144,000 bacteria.
To find the final population, we add the increase to the initial population:
Final population = Initial population + Increase
Final population = 1,000,000 + 18,144,000 = 19,144,000 bacteria.
Therefore, the population will be 19,144,000 bacteria in two weeks.
To find the population after two weeks, we need to first determine the number of seconds in two weeks and then calculate the increase in population.
Step 1: Finding the number of seconds in two weeks
There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day.
Therefore, in one day, there are:
60 seconds/minute * 60 minutes/hour * 24 hours/day = 86,400 seconds/day.
Since there are seven days in a week, the number of seconds in a week would be:
86,400 seconds/day * 7 days/week = 604,800 seconds/week.
To find the number of seconds in two weeks, we multiply by two:
604,800 seconds/week * 2 weeks = 1,209,600 seconds.
Step 2: Calculating the increase in population
The population is increasing at a linear rate of 15 per second.
Therefore, for each second, the population increases by 15.
To find the increase in population over 1,209,600 seconds, we multiply the number of seconds by the rate increase:
1,209,600 seconds * 15 bacteria/second = 18,144,000 bacteria.
Step 3: Determining the final population
To find the final population, we add the increase in population to the initial population of one million:
1,000,000 + 18,144,000 = 19,144,000.
Therefore, the population will be 19,144,000 after two weeks.