A cell culture contains 6 thousand cells, and is growing at a rate of r (t) = 11 e 0.23 t r (t) = 11e0.23t thousand cells per hour. find the total cell count after 3 hours. give your answer accurate to at least 2 decimal places.

The rate of growth of cultured cells is:

r (t) = 11e^0.23t

number of Cells when:

t=1

r (t) = 11e^0.23*1

r (t) = 13.8446

number of cells will therefore be:

6000*13.8446

=83067.6

t=2

r (2) = 11e^ (0.23*2)

r (2) = 17.425

number of cells

17.425*6000

=104,550

t=3

r (3) = 11e^ (0.23*3)

r (3) = 21.931

number of cells

6000*21.931

=131,586

Thus the total number of after the 3rd hour will be:

104550+131586+83068

=319,204