Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.

equation: 140 (315/140) ^ (t/2)

What is the growth rate?

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Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.

equation: 140 (315/140) ^ (t/2)

What is the growth rate?

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Salvatore Morrison · Answer 1

For exponential growths,

population after time t = original population x (growth rate) ^time

The growth rate works out to be:

(315/140) ^ (t/2)

= [√ (315/140) ]^t

= 1.5^t

The growth rate is 1.5 times per year.

Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.equation: 140 (315/140) ^ (t/2)What is the growth rate?

Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially.

equation: 140 (315/140) ^ (t/2)

What is the growth rate?