lightninglokdown
lightninglokdown lightninglokdown
  • 16-07-2017
  • Mathematics
contestada

a culture started with 5000 bacteria. after 2 hours, it grew to 6500 bacteria. Predict how many bacteria will be present after 18 hrs

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Aliwohaish12
Aliwohaish12 Aliwohaish12
  • 16-07-2017
First find the rate of growth
The formula is
A=p e^rt
A 6500
P 5000
R rate of growth?
E constant
T 2 hours
Solve the formula for r
R=[log (A/p)÷log (e)]÷t
R=(log(6,500÷5,000)÷log(e))÷2
R=0.1312 (rate of growth)

Now predict how many bacteria will be present after 18 hrs
A=p e^rt
A ?
P 5000
R 0.1312
E constant
T 18 hours

A=5,000×e^(0.1312×18)
A=53,039.5 round your answer to get
A=53040....answer

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