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. 950 + 35w > 600; w ≥ 11 950 - 35w ≥ 600; w ≤ 11 950 + 35w ≥ 600; w ≥ 10 950 - 35w ≥ 600; w ≤ 10
The correct inequality to determine the number of weeks Sam can continue spending money is 950 - 35w ≥ 600.
Solving this inequality, we subtract 950 from both sides to isolate -35w and get:
-35w ≥ -350.
Dividing both sides by -35 flips the inequality and gives us:
w ≤ 10.
Thus, Sam can continue spending money for a maximum of 10 weeks.