Use a graphing calculator to estimate when the population will exceed 1665.

Question

A population of bacteria is growing according to the equation .

Use a graphing calculator to estimate when the population will exceed 1665.

Answer 1

Without a graphing calculator, here is an algebraic solution

1665 = 1000 e^0.17t

1.665 = e^0.17t

ln 1.665 = 0.017t

0.5098 ≈ 0.017t

29.9897 ≈ t