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11 February, 07:48

Biologists notice an alarming trend in the walleye population in Lake Erie. Despite annual restocking rates of 2 million fish, the population is decreasing by 15% each year. They estimate the walleye population was 26 million at the beginning of the current year. Write a sequence to represent the population for the first 4 years. (remember the restocking amount)

Is this sequence geometric or arithmetic? How do you know?

Walleye populations are considered to be in a rehabilitation state when they are between 15 and 20 million. In what year will the population reach this level? In addition to a harvest restriction, what intervention could be used?

What will the population of walleye be in year 8?

Using the formula the sum of the population for the first 10 years?

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  1. 11 February, 09:14
    0
    f (x) = 26000000 (.85) ^x + 2,000,000

    f (1) = 26,000,000

    f (2) = 24100000

    f (3) = 22485000

    f (4) = 21112250

    Geometric, it is going down by a %, not a fixed number

    Year 5, less pollution

    f (8) = 9,084,753.65

    Step-by-step explanation:

    f (2) = 26,000,000 (.85) ^2 + 2,000,000

    f (2) = 24100000

    f (3) = 26,000,000 (.85) ^3 + 2,000,000

    f (3) = 22485000

    f (4) = 26,000,000 (.85) ^4 + 2,000,000

    f (4) = 21,112,250

    f (8) = 26,000,000 (.85) ^8 + 2,000,000

    f (8) = 9,084,753.65
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