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It always takes Zach approximately 5 minutes longer to arrive than he says. If Zach says he will arrive in x minutes, which of the following functions correctly models the approximate number of minutes it actually takes Zach to arrive? Choose 1 answer: (A) f(x)=5x (B) f(x)=x-5 (c) f(x)=x+5 (D) f(x)=5-x

It always takes Zach approximately 55 minutes longer to arrive than he says. If Zach says he will arrive in x x minutes, which of the following functions correctly models the approximate number of minutes it actually takes Zach to arrive?\newlineChoose 11 answer:\newline(A) f(x)=5x f(x)=5 x \newline(B) f(x)=x−5 f(x)=x-5 \newline(C) f(x)=x+5 f(x)=x+5 \newline(D) f(x)=5−x f(x)=5-x

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Full solution

Q. It always takes Zach approximately 55 minutes longer to arrive than he says. If Zach says he will arrive in x x minutes, which of the following functions correctly models the approximate number of minutes it actually takes Zach to arrive?\newlineChoose 11 answer:\newline(A) f(x)=5x f(x)=5 x \newline(B) f(x)=x−5 f(x)=x-5 \newline(C) f(x)=x+5 f(x)=x+5 \newline(D) f(x)=5−x f(x)=5-x
  1. Rephrase the function: Rephrase the What is the function that models the actual time it takes for Zach to arrive if he always takes 55 minutes longer than he says?
  2. Identify the correct function: Identify the correct function based on the given information.\newlineZach says he will arrive in xx minutes, but it takes him 55 minutes longer. Therefore, the actual time it takes him to arrive is xx minutes plus an additional 55 minutes.
  3. Match the situation with function choice: Match the situation with the correct function choice.\newlineSince we are adding 55 minutes to the time Zach says (xx minutes), the correct function would be f(x)=x+5f(x) = x + 5.
  4. Eliminate incorrect function choices: Eliminate the incorrect function choices.\newline(A) f(x)=5xf(x) = 5x implies the time is multiplied by 55, which is not the case.\newline(B) f(x)=x−5f(x) = x - 5 implies Zach arrives 55 minutes earlier than he says, which is the opposite of what is stated.\newline(D) f(x)=5−xf(x) = 5 - x implies that as xx increases, the time Zach takes to arrive decreases, which is incorrect.
  5. Confirm the correct answer choice: Confirm the correct answer choice.\newline(C) f(x)=x+5f(x) = x + 5 correctly represents the situation where Zach takes 55 minutes longer than the time he states (xx minutes).

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