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Carlos is a receptionist at a law firm. He spends $2$ minutes routing each phone call as it comes in. Write an equation that shows the relationship between the number of calls, $x$ , and the total number of minutes Carlos spends routing calls, $y$ .

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Write a linear function: word problems

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Q. Carlos is a receptionist at a law firm. He spends

2

minutes routing each phone call as it comes in. Write an equation that shows the relationship between the number of calls,

x

, and the total number of minutes Carlos spends routing calls,

y

.

Identify variables and relationship: Identify the variables and their relationship. $\newline$ Carlos spends $2$ minutes on each call. The total time spent on calls is directly proportional to the number of calls he routes. $\newline$ Let $x$ represent the number of calls Carlos routes. $\newline$ Let $y$ represent the total number of minutes Carlos spends routing calls. $\newline$ The relationship between the two variables is that for every call Carlos routes, he spends $2$ minutes.
Write equation based on relationship: Write the equation based on the relationship. $\newline$ Since Carlos spends $2$ minutes per call, the total number of minutes ( $y$ ) is equal to $2$ times the number of calls ( $x$ ). $\newline$ The equation is: $y = 2x$

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