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2936131
05.12.2020 •
Mathematics
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Ответ:
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.
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