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24 July, 15:29

Rocio predicts that the amount of corn, C. in bushels, produced on her farm t years from now can be modeled

by the function Cl (t) = 80t + 1000, while the price, P, in dollars, per bushel of corn t years from now can be

modeled by the function P (t) = 0.03t + 5.

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  1. 24 July, 15:54
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    Question:

    Rocio predicts that the amount of corn, C. in bushels, produced on her farm t years from now can be modeled

    by the function C (t) = 80t + 1000, while the price, P, in dollars, per bushel of corn t years from now can be

    modeled by the function P (t) = 0.03t + 5. Let I be Rocio's predicted total income from producing corn t years from now.

    Answer: I (t) = 2.4t^2 + 430t + 5000

    Step-by-step explanation:

    Given that:

    Amount of corn sold in t years is modeled by:

    C (t) = 80t + 1000

    Price of corn sold in t years is modeled by:

    P (t) = 0.03t + 5

    Therefore, total income = (amount sold in brushels in t years * price in dollar per bushel I. t years)

    Therefore, I (t) = C (t) * P (t)

    I (t) = (80t + 1000) * (0.03t + 5)

    I (t) = 2.4t^2 + 400t + 30t + 5000

    I (t) = 2.4t^2 + 430t + 5000
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