Question 1154249: Use Exponential function to solve: Every day 25 000 people die from hunger or hunger related diseases. This is the greatest killer of humanity at the moment. In this pandemic, about 2000 people are dying each day right now in the World. Suppose this is increasing by 12% every day (close to the correct number). When will the number of people dying each day exceed 25 000?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 2000 * 1.12 ^ x = 25000
divide both sides of this equation by 2000 to get:
1.12 ^ x = 25000 / 2000
simplify to get:
1.12 ^ x = 12.5
take the log of both sides of this equation to get:
log(1.12^x) = log(12.5)
by the laws of logs, this becomes:
x * log(1.12) = log(12.5)
divide both sides of the equation by x to get:
x = log(12.5) / log(1.12)
solve for x to get:
x = 22.286755.
the number of people dying each day will be equal to 25000 in 22.286755 days.
confirm as follows:
2000 * 1.12 ^ 22.286755 = 25000.
evaluate to get:
25000 = 25000
the number of people dying each day will be equal to 25000 in 22.286755 days.
this means the number of people dying each day will be greater than 25000 for any number of days greater than 22.
at the end of the 22d day, the number of people dying each day will be equal to 2000 * 1.12 ^ 22 = 24200.62011.
at the end of the 23d day, the number of people dying each day will be equal to 27104.694353.
some time in the 23d day, the number exceeds 25000 per day.
your solution is that the number of people dying each day will exceed 25000 in the 23d.
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