Question

Marc has a total of $750 in his account. Every week he withdraws $50 to pay for his weekly expenses. After how many week will he have at least $250?750 - 50w 250750 + 50w >250750 + 50w ≤ 250750 - 50w ≥ 250

Answer 1

10 weeks

Step-by-step 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,

`\begin{gathered} \text{total -w}eekly\exp enses\text{ }\ge250 \\ \text{replacing} \\ 750-50w\ge250\text{ Inequality} \end{gathered}`

Step 2

now, solve for w

`\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 \\ (50w)/(50)\leq(500)/(50) \\ w\leq10 \end{gathered}`

it means after 10 weeks he will have at least $250

I hope this helps you