10 weeks
Explanation
Step 1
Let w represents the number of weeks
total=750
weekly expenses =50 per weeek=50w
Step 2
make the inequality
Marc has a total of $750 in his account. Every week he withdraws $50 to pay for his weekly expenses,
[tex]\begin{gathered} \text{total -w}eekly\exp enses\text{ }\ge250 \\ \text{replacing} \\ 750-50w\ge250\text{ Inequality} \end{gathered}[/tex]Step 2
now, solve for w
[tex]\begin{gathered} 750-50w\ge250 \\ \text{subtract 750 in both sides} \\ 750-50w-750\ge250-750 \\ -50w\ge-500 \\ \text{Multiply both sides by -1 } \\ -50w\cdot-1\leq-500\cdot-1 \\ 50w\leq500 \\ \text{divide both sides by }50 \\ \frac{50w}{50}\leq\frac{500}{50} \\ w\leq10 \end{gathered}[/tex]it means after 10 weeks he will have at least $250
I hope this helps you
