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A cell culture contains 10 thousand cells, and is growing at a rate of r ( t ) = 12 e 0.17 t thousand cells per hour. find the total cell count after 6 hours. give your answer accurate to at least 2 decimal places.

Respuesta :

jushmk
Growth, r(t) = 12e^(0.17t)

After 6 hours,

r(6) = 12e^(0.17*6) = 33.28 thousand cells

Total cells after 6 hours = 10+33.28 = 43.28 thousand cells.

Note:
Kindly confirm if the rate of growth is as give or is r(t) = 10e^(0.17t)

The total cell count after 6 hours is 43.28 thousand cells.

How can we find cell growth after t time?

Suppose the given growth rate of the cell is r(t) = ne^(xt) where n is the real number and t is the time period so, we can find the cell growth by putting the t value in a given expression.

Growth, r(t) = 12e^(0.17t)

After 6 hours,

r(6) = 12e^(0.17×6)

      = 33.28 thousand cells

Total cells after 6 hours = 10+33.28

                                        = 43.28 thousand cells.

Therefore, the total cell count after 6 hours is 43.28 thousand cells.

Learn more about cell growth;

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