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Read the following description of a relationship: $\newline$ A professional dancer spends $1$ hour every day stretching, and the rest of her daily practice time on her routine. $\newline$ Let $p$ represent the number of hours of daily practice and $r$ represent the number of hours spent on the routine. $\newline$ $\newline$ Find the value of $r$ when $p = 8$ . $\newline$ $r = \_$

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Solve word problems by finding two-variable equations

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Q. Read the following description of a relationship:

\newline

A professional dancer spends

1

hour every day stretching, and the rest of her daily practice time on her routine.

\newline

Let

p

represent the number of hours of daily practice and

r

represent the number of hours spent on the routine.

\newline

\newline

Find the value of

r

when

p = 8

.

\newline

r = \_

Understand Relationship: Understand the relationship between total practice hours $p$ and routine hours $r$ . The dancer spends $1$ hour stretching, so the routine hours are the total practice hours minus the stretching hour. $r = p - 1$
Substitute Given Value: Substitute the given value of $p$ into the equation. $\newline$ Given $p = 8$ . $\newline$ $r = 8 - 1$
Calculate Value: Calculate the value of $r$ . $r = 7$

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