Question

a culture started with 5000 bacteria. After 7 hours it grew to 6,500 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number. P=Ae^kt

Answer 1

Find the rate (K)
K=(log (p/A)/log (e))/t
K=(log(6,500÷5,000)÷log(e))÷87
k=0.03748

Now solve to find bacteria after 19 hours
P=5,000×e^(0.03748*19)
P=10191.539

rounded to 10,192