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Brody is excited to start singing lessons. His teacher says he will learn $2$ vocal pieces each month. Write an equation that shows the relationship between the number of months Brody takes voice lessons, $x$ , and the number of pieces he knows, $y$ .

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Write a linear function: word problems

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Q. Brody is excited to start singing lessons. His teacher says he will learn

2

vocal pieces each month. Write an equation that shows the relationship between the number of months Brody takes voice lessons,

x

, and the number of pieces he knows,

y

.

Identify Variables: Identify the variables and what they represent. $\newline$ Brody learns $2$ vocal pieces each month. Let's define the variables: $\newline$ - $x$ represents the number of months Brody takes voice lessons. $\newline$ - $y$ represents the number of vocal pieces Brody knows.
Determine Relationship: Determine the relationship between the variables. $\newline$ Since Brody learns $2$ pieces per month, the total number of pieces he knows is directly proportional to the number of months of lessons he takes.
Write Equation: Write the equation that represents the relationship. $\newline$ The equation that shows the relationship between the number of months $x$ and the number of pieces $y$ is: $\newline$ $y = 2 \times x$ $\newline$ This equation means that for every $1$ month of lessons, the number of pieces Brody knows increases by $2$ .

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