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Larry is on his school's cross-country team. He runs $8$ miles during each practice. Write an equation that shows the relationship between the number of practices Larry attends, $x$ , and the total number of miles he runs, $y$ . $\newline$ y = ____

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Write linear functions: word problems

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Q. Larry is on his school's cross-country team. He runs

8

miles during each practice. Write an equation that shows the relationship between the number of practices Larry attends,

x

, and the total number of miles he runs,

y

.

\newline

y = ____

Identify Variables: Identify the variables in the problem. $\newline$ Larry runs a certain number of miles during each practice, and we want to find the total number of miles he runs after a certain number of practices. Let's define the variables: $\newline$ - The number of practices Larry attends: $x$ $\newline$ - The total number of miles Larry runs: $y$
Determine Relationship: Determine the relationship between the variables. $\newline$ Larry runs $8$ miles during each practice. Therefore, the total number of miles he runs is directly proportional to the number of practices he attends. The more practices he attends, the more miles he will run.
Write Equation: Write the equation that shows the relationship between the total number of miles and the number of practices. $\newline$ Since Larry runs $8$ miles for each practice, we can write the equation as: $\newline$ $y = 8 \times x$ $\newline$ This equation shows that the total number of miles ( $y$ ) is $8$ times the number of practices ( $x$ ).

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