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≥10
950−35w≥600; w≤10
The correct inequality is: 950 - 35w ≥ 600; w ≤ 10
To solve this inequality, we can rearrange it to isolate the variable w:
-35w ≥ 600 - 950
-35w ≥ -350
To solve for w, we divide both sides of the inequality by -35, remembering to reverse the inequality symbol:
w ≤ -350 / -35
w ≤ 10
Therefore, the solution to the inequality is: w ≤ 10. This means that Sam can continue spending money for a maximum of 10 weeks.