Math

A certain type of bacteria is growing at an exponential rate that can be modeled by the equation y=ae^kt, where t represents the number of hours. There are 300 bacteria initially, and 1500 bacteria 5 hours later.

Find the rate of growth, k, of the bacteria.

Write the equation that can be model the growth of the bacteria at time, t.

asked by Aria
  1. 1500 = 300 e^(k * 5)

    ln(5) = 5 k

    k = 32.2% / hr

    y(t) = 300 e^(.322 t)

    posted by Scott

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