To find the equation that represents the relationship between the number of weeks \( x \) and the total amount of money \( y \) that Josie will have saved, we start by noting the information given:
- Josie currently has $13.
- She saves an additional $7 each week.
From this, we can determine that after \( x \) weeks, she will have saved:
\[ y = 13 + 7x \]
This equation can be rearranged to fit a standard linear form. If we move \( y \) to one side:
\[ y - 7x = 13 \]
Now, rewriting this gives us:
\[ -7x + y = 13 \]
If we multiply through by -1 to make the coefficient of \( x \) positive, we have:
\[ 7x - y = -13 \]
Therefore, the correct equation representing the relationship between the number of weeks \( x \) and the total amount of money \( y \) Josie will have saved is:
7x - y = -13
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