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A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula

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Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.


A = A_ob^t

3600 = 3000b^4

Now we solve for b

3600 = 3000b^4

(3600)/(3000) = (3000b^(4))/(3000)

(6)/(5) = b^4

\sqrt[4]{(6)/(5)} = \sqrt[4]{b^4}

\sqrt[4]{(6)/(5)} = b

Now that we have found b, we can use the equation
A = 3000b^t to predict how many bacteria will be present after 10 hours.

b = \sqrt[4]{(6)/(5)}
t = 10

A = 3000b^t

A = 3000\sqrt[4]{(6)/(5)}^(10) = 4732.3228 = 4732

Answer = 4732



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