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LUCKY_DIMON [66]
3 years ago
8

A virus spreads continuously at a rate of 5% more infections per hour. How long will it take for 100 to be infected after 100 pe

ople are infected
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0
At the rate of 5% per hour, time to take another 100 to get infected is essentially time to double the infection.
We can use the rule of 72 to get a quick rough estimate
time = 72/5=14.4 hours.

Exact value:
100(1.05)^t = 200
1.05^t=2
take log
t=log(2)/log(1.05)
= 14.21 hours
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