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.
Accepted Solution
A:
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: 6000Γ13.8446 =83067.6
t=2 r(2)=11e^(0.23*2) r(2)=17.425 number of cells 17.425Γ6000 =104,550
t=3 r(3)=11e^(0.23*3) r(3)=21.931 number of cells 6000Γ21.931 =131,586 Thus the total number of after the 3rd hour will be: 104550+131586+83068 =319,204