your baby brother has an ear infection. The doctor saud there are probably 50000000 bacteria in his left ear. The penicillin the doctor prescribed will k**l7% of the bacteria every hour. How many bacteria will be in you brother's ear in 1day,1week
your baby brother has an ear infection. The doctor saud there are probably 50 000 000 bacteria in his left ear. The penicillin the doctor prescribed will k**l7% of the bacteria every hour. How many bacteria will be in you brother's ear in 1day,1week
1 day = 24 hour
After one hour there will be ((100-17)% = 83% = 0.83 of the original amount left
that is after 1 hour there will be
5*10^7 * 0.83
after 2 hours
\(5*10^7 * 0.83 * 0.83 = 5*10^7 * 0.83^2\)
after 3 hours
\(5*10^7 * 0.83 * 0.83 = 5*10^7 * 0.83^3\)
after 24 hours
\(5*10^7 * 0.83 * 0.83 = 5*10^7 * 0.83^{24}\)
5*10^7*0.83^24 = 571274 bacteria left
and you can do the 1 week question. How many hours are in a week anyway?