Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each week, he spends $35 on recreational activities. Write an inequality to determine the number of weeks Sam can continue spending money, and solve the inequality.(1 point) Responses 950+35w600; w≥11 950+35w600; w≥11 950−35w≥600; w≤11 950−35w≥600; w≤11 950+35w≥600; w≥10 950+35w≥600; w≥10 950−35w≥600; w≤10 950−35w≥600; w≤10

Question

Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each week, he spends $35 on recreational activities. Write an inequality to determine the number of weeks Sam can continue spending money, and solve the inequality.(1 point) Responses 950+35w>600; w≥11 950+35w>600; w≥11 950−35w≥600; w≤11 950−35w≥600; w≤11 950+35w≥600; w≥10 950+35w≥600; w≥10 950−35w≥600; w≤10 950−35w≥600; w≤10

GPT 3.5 · Answer

The correct inequality is 950 - 35w ≥ 600; w ≤ 10.

To solve the inequality, we can subtract 950 from both sides: -35w ≥ -350.

Next, we divide both sides by -35, but remember that when we divide or multiply an inequality by a negative number, we need to flip the inequality sign: w ≤ 10.

So Sam can continue spending money for a maximum of 10 weeks.