To find out after how many weeks the account will have [tex]$67 left in it, we need to solve the given equation for \( x \). The equation given is:
\[ y = -24x + 379 \]
Let's find \( x \) when \( y = 67 \). Substitute \( y = 67 \) into the equation:
\[ 67 = -24x + 379 \]
Next, we need to rearrange the equation to solve for \( x \):
1. Subtract 379 from both sides to isolate the term with \( x \):
\[ 67 - 379 = -24x \]
2. Simplify the left side:
\[ -312 = -24x \]
3. Now, divide both sides by \(-24\) to solve for \( x \):
\[ \frac{-312}{-24} = x \]
4. Simplify the division:
\[ x = 13 \]
Therefore, after 13 weeks, the account will have $[/tex]67 left in it. Hence, the correct answer is:
13 weeks
