As a result of a medical treatment, the number of a certain type of bacteria decreases according to the following model where t is time (in hours). (Round your answers to 1 decimal place.)
P(t) = 100e^−0.325t
a.Find P(0).
b. Find P(5).
c. Find P(10).
d. Find P(24).
I know that a is 100 and I thought that b would be 507.8 but I got it wrong and I thought c would be 2579 but I haven't tried to submit that answer yet and I haven't tried d. Can anyone help me with b-d please. Thank you. I will give 10 points!
P(t) = 100e^−0.325t
a.Find P(0).
b. Find P(5).
c. Find P(10).
d. Find P(24).
I know that a is 100 and I thought that b would be 507.8 but I got it wrong and I thought c would be 2579 but I haven't tried to submit that answer yet and I haven't tried d. Can anyone help me with b-d please. Thank you. I will give 10 points!
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b. P(5) = 100e^−0.325(5) = 19.69 = 19.7
c. P(10) = 100e^−0.325(10) = 3.877 = 3.9
d. P(24) = 100e^−0.325(24) = 0.04097 = 0.0
c. P(10) = 100e^−0.325(10) = 3.877 = 3.9
d. P(24) = 100e^−0.325(24) = 0.04097 = 0.0
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P(t) is a decreasing function of time so as t increases, P(t) decreases.
So since P(0)=100, the others values should all be less than 100.
P(5)=19.7
P(10)=3.9
P(24)=0.
After a full day or 24 hours, the bacteria is gone.
So since P(0)=100, the others values should all be less than 100.
P(5)=19.7
P(10)=3.9
P(24)=0.
After a full day or 24 hours, the bacteria is gone.