Question

# there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can $reproduce$. Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?

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## Answer to a math question there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can $reproduce$. Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?

Jayne
4.4
If the bacteria double every 15 minutes, we can calculate the number of bacteria after 12 hours $720 minutes$ by dividing the total time by the doubling time. Doubling time = 15 minutes Total time = 12 hours = 720 minutes Number of doubling periods = Total time / Doubling time Number of doubling periods = 720 minutes / 15 minutes = 48 doubling periods Now, if you start with 5 bacteria and they double 48 times, you can calculate the total number of bacteria using the formula: Final number of bacteria = Initial number of bacteria * $2^Number of doubling periods$ Final number of bacteria = 5 * $2^48$ Calculating this, we get: Final number of bacteria = 1,407,374,883,553,280 So, after 12 hours, starting with 5 bacteria that double every 15 minutes, you would have 1,407,374,883,553,280 bacteria.
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