SOLUTION: use the formula P=Po^ekt. a bacterial culture has an initial population of 10,000. if its population declines to 7000 in 2 hours,
a.) find the exponential model for this data
b.)
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Question 281904: use the formula P=Po^ekt. a bacterial culture has an initial population of 10,000. if its population declines to 7000 in 2 hours,
a.) find the exponential model for this data
b.) what will the population be at the end of 4 hours
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
At time t=0, P=10000.
At time t=2, P=7000.
.
.
.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
use the formula P=Po^ekt. a bacterial culture has an initial population of 10,000. if its population declines to 7000 in 2 hours,
-------------------
initial population = Po = 10,000
-----
a.) find the exponential model for this data
Find k if t=2 hrs.
7000 = 10,000*e^(k(2))
e^(2k) = 0.7
Take the natural log and solve for "k":
2k = ln(0.7)
k = -0.1783
----------------------
Model: P(t) = 10,000*e^(-0.1783t)
======================================
b.) what will the population be at the end of 4 hours
P(4) = 10,000*e^(-0.1783*4)
P(4) = 10,000*0.49
P(4) = 4900
==================
Cheers,
Stan H.
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