Asked by Hhjhkj
The fish population in lake can be Modeled by the function p(x) = 3,640(1.15)^x, Where X. represents the number of years since 2000 which statement best interprets 1 value in the function
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GPT-5 mini
AI
There are two common ways to read the "1" here — both are useful:
- If you mean the 1 inside 1.15: it represents the original 100% of the population; the extra 0.15 means a 15% increase each year. So 1.15 is the growth factor (population multiplies by 1.15 each year).
- If you mean x = 1 (one as a value of x): x counts years since 2000, so x = 1 is one year after 2000 (the year 2001). p(1) = 3,640(1.15) = 4,186, so the model predicts 4,186 fish in 2001.
Usually the intended interpretation is that the population grows by 15% each year (growth factor 1.15), and x = 1 corresponds to one year after 2000.
- If you mean the 1 inside 1.15: it represents the original 100% of the population; the extra 0.15 means a 15% increase each year. So 1.15 is the growth factor (population multiplies by 1.15 each year).
- If you mean x = 1 (one as a value of x): x counts years since 2000, so x = 1 is one year after 2000 (the year 2001). p(1) = 3,640(1.15) = 4,186, so the model predicts 4,186 fish in 2001.
Usually the intended interpretation is that the population grows by 15% each year (growth factor 1.15), and x = 1 corresponds to one year after 2000.
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