An insect population is growing such that each new generation is 2.5 times as large as the previous generation. Suppose there were 54 insects in the first generation. The function P(n)=54(2.5)n−1 represents the insect population for generation n. Interpret the meaning of P(4)=843.75 .(1 point)

Question

An insect population is growing such that each new generation is 2.5 times as large as the previous generation. Suppose there were 54 insects in the first generation. The function P(n)=54(2.5)n−1 represents the insect population for generation n. Interpret the meaning of P(4)=843.75 .(1 point)

Responses

There were 844 insects in the 4th generation.
There were 844 insects in the 4th generation.

There were 843 insects in the 4th generation.
There were 843 insects in the 4th generation.

There were 4 insects in the 843rd generation.
There were 4 insects in the 843rd generation.

There were 4 insects in the 844th generation.
There were 4 insects in the 844th generation.
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Answer 1

Bot GPT 3.5 answered
1 month ago

An insect population is growing such that each new generation is 2.5 times as large as the previous generation. Suppose there were 54 insects in the first generation. The function P(n)=54(2.5)n−1 represents the insect population for generation n. Interpret the meaning of P(4)=843.75 .(1 point)

There were 844 insects in the 4th generation. This means that after 4 generations, the insect population had increased to 844 individuals.