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Anton watched x movies in 2019. If Michael watched (1)/(4) as many movies as Anton did in 2019, which of the following best approximates the number of movies Michael watched in 2019 ? Choose 1 answer: (A) (x)/(4) (B) (3x)/(4) (c) x-4 (D) 4x

Anton watched x x movies in 20192019 .\newlineIf Michael watched 14 \frac{1}{4} as many movies as Anton did in 20192019, which of the following best approximates the number of movies Michael watched in 20192019 ?\newlineChoose 11 answer:\newline(A) x4 \frac{x}{4} \newline(B) 3x4 \frac{3 x}{4} \newline(C) x−4 x-4 \newline(D) 4x 4 x

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Full solution

Q. Anton watched x x movies in 20192019 .\newlineIf Michael watched 14 \frac{1}{4} as many movies as Anton did in 20192019, which of the following best approximates the number of movies Michael watched in 20192019 ?\newlineChoose 11 answer:\newline(A) x4 \frac{x}{4} \newline(B) 3x4 \frac{3 x}{4} \newline(C) x−4 x-4 \newline(D) 4x 4 x
  1. Understanding the relationship: Understand the relationship between the number of movies Anton and Michael watched.\newlineMichael watched (1/4)(1/4) as many movies as Anton did. This means that if Anton watched xx movies, Michael watched xx multiplied by (1/4)(1/4).
  2. Writing the expression for Michael: Write the expression for the number of movies Michael watched.\newlineThe expression for the number of movies Michael watched is (14)×x(\frac{1}{4}) \times x.
  3. Simplifying the expression: Simplify the expression.\newlineSimplifying (14)×x(\frac{1}{4}) \times x gives us x4\frac{x}{4}.
  4. Matching the simplified expression: Match the simplified expression with the given answer choices.\newlineThe expression x4\frac{x}{4} matches with answer choice (A) (x4)\left(\frac{x}{4}\right).

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