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Read the following description of a relationship: $\newline$ When Austen is given a long-term assignment, he always finishes it $1$ day before the due date. $\newline$ Let $d$ represent the number of days given to complete the assignment and $f$ represent the number of days Austen takes to complete the assignment. $\newline$ $\newline$ Find the value of $f$ when $d = 8$ . $\newline$ $f =$ ____

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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

When Austen is given a long-term assignment, he always finishes it

1

day before the due date.

\newline

Let

d

represent the number of days given to complete the assignment and

f

represent the number of days Austen takes to complete the assignment.

\newline

\newline

Find the value of

f

when

d = 8

.

\newline

f =

____

Understand Relationship: Understand the relationship between the days given $d$ and the days Austen takes to finish $f$ . Austen finishes assignments $1$ day before the due date. So, the formula is $f = d - 1$ .
Substitute Given Value: Substitute the given value of $d$ into the formula. $d$ is given as $8$ . $f = 8 - 1$
Calculate Value: Calculate the value of $f$ . $f = 7$

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