A cell culture contains 9 thousand cells, and is growing at a rate of r(t)=6e0.17t thousand cells per hour. Find the total cell count after 5 hours.

Question

A cell culture contains 9 thousand cells, and is growing at a rate of r(t)=6e0.17t thousand cells per hour.

Find the total cell count after 5 hours. Give your answer accurate to at least 2 decimal places.

Answer 1

r(t) = 6e^0.17t

r(5) = 6e^(0.17)(5)

r(5) = 6e^0.85

r(5) ≈ 6(2.33964685)

t(5) ≈ 14.03788113

 

14037.88 grow in 5 hours. Adding the original 9000, there are 23037.88.

 

An exponential growth formula usually contains the initial amount. Was it correctly written?