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
Q. 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
Rephrase the function: Rephrase the What is the function that models the actual time it takes for Zach to arrive if he always takes 5 minutes longer than he says?
Identify the correct function: Identify the correct function based on the given information.Zach says he will arrive in x minutes, but it takes him 5 minutes longer. Therefore, the actual time it takes him to arrive is x minutes plus an additional 5 minutes.
Match the situation with function choice: Match the situation with the correct function choice.Since we are adding 5 minutes to the time Zach says (x minutes), the correct function would be f(x)=x+5.
Eliminate incorrect function choices: Eliminate the incorrect function choices.(A) f(x)=5x implies the time is multiplied by 5, which is not the case.(B) f(x)=x−5 implies Zach arrives 5 minutes earlier than he says, which is the opposite of what is stated.(D) f(x)=5−x implies that as x increases, the time Zach takes to arrive decreases, which is incorrect.
Confirm the correct answer choice: Confirm the correct answer choice.(C) f(x)=x+5 correctly represents the situation where Zach takes 5 minutes longer than the time he states (x minutes).
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