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.

Question

Mathematics

Ali Lutz

5 June, 11:49

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.

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Answers (1)

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Mareli Haas · Answer 1

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)