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In the year 2000, the average American consumed 8.3 gallons of whole milk per year. This amount has been decreasing by 0.3 gallons per year. Which inequality can be used to find the number of years, t, since 2000 in which whole milk consumption was greater than 6.0 gallons per person per year? Choose 1 answer: (A) 8.3-0.3 t > 6.0 (B) 8.3-0.3(t-2,000) > ( (C) 8.3-0.3 t < 6.0 (D) 8.3-0.3(t-2,000) < epsilon

In the year 20002000, the average American consumed 88.33 gallons of whole milk per year. This amount has been decreasing by 00.33 gallons per year. Which inequality can be used to find the number of years, t t , since 20002000 in which whole milk consumption was greater than 66.00 gallons per person per year?\newlineChoose 11 answer:\newline(A) 8.3-0.3 t>6.0 \newline(B) 8.3-0.3(t-2,000)>t \newline(C) 8.3-0.3 t<6.0 \newline(D) \( 8.3-0.3(t-2,000)

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Q. In the year 20002000, the average American consumed 88.33 gallons of whole milk per year. This amount has been decreasing by 00.33 gallons per year. Which inequality can be used to find the number of years, t t , since 20002000 in which whole milk consumption was greater than 66.00 gallons per person per year?\newlineChoose 11 answer:\newline(A) 8.3−0.3t>6.0 8.3-0.3 t>6.0 \newline(B) 8.3−0.3(t−2,000)>t 8.3-0.3(t-2,000)>t \newline(C) 8.3−0.3t<6.0 8.3-0.3 t<6.0 \newline(D) 8.3−0.3(t−2,000)<t 8.3-0.3(t-2,000)<t
  1. Given Information: We are given that the average American consumed 8.38.3 gallons of whole milk in the year 20002000 and that this amount decreases by 0.30.3 gallons each year. We need to find the inequality that represents the years, tt, since 20002000 when the consumption was greater than 6.06.0 gallons.\newlineLet's start by setting up an equation that represents the consumption of whole milk in any year after 20002000.\newlineInitial consumption in 20002000: 8.38.3 gallons\newlineDecrease per year: 0.30.3 gallons\newlineNumber of years since 20002000: tt\newlineConsumption in year tt: 2000200033\newlineWe want to know when this consumption is greater than 6.06.0 gallons.\newlineSo, the inequality will be:\newline2000200055
  2. Setting up Equation: Now, let's check the answer choices to see which one matches our inequality.\newline(A) 8.3 - 0.3t > 6.0 matches our inequality.\newline(B) 8.3 - 0.3(t-2,000) > 6.0 is incorrect because it incorrectly subtracts 2,0002,000 from tt, which is not necessary since tt represents the number of years since 20002000.\newline(C) 8.3 - 0.3t < 6.0 is the opposite of what we want; we are looking for when consumption is greater than 6.06.0 gallons, not less.\newline(D) 8.3 - 0.3(t-2,000) < 6.0 is incorrect for the same reason as (B) and also because it represents an inequality where consumption is less than 6.06.0 gallons.

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