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Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of $3$ . Write an equation that shows how the total number of pieces Krysta would learn, $y$ , depends on the number of months of piano lessons, $x$ . $\newline$ $y$ =_________

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Write linear functions: word problems

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Q. Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of

3

. Write an equation that shows how the total number of pieces Krysta would learn,

y

, depends on the number of months of piano lessons,

x

.

\newline

y

=_________

Identify Variables: Identify the variables in the problem. $\newline$ Krysta wants to know the total number of pieces she would learn over a certain number of months. The total number of pieces is represented by $y$ , and the number of months is represented by $x$ .
Determine Learning Rate: Determine the rate at which Krysta learns new pieces. $\newline$ The teacher estimates that Krysta can learn $3$ new pieces each month. This is a constant rate of learning.
Write Equation: Write the equation that relates the total number of pieces learned to the number of months. $\newline$ Since Krysta learns $3$ pieces per month, the total number of pieces learned after $x$ months is $3$ times the number of months. The equation is: $\newline$ $y = 3x$

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