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
The correct inequality to determine the number of weeks Sam can continue spending money is 950 - 35w ≥ 600, where w represents the number of weeks.
To solve the inequality, we can first subtract 950 from both sides of the equation:
-35w ≥ 600 - 950
-35w ≥ -350
Next, we divide both sides of the equation by -35, remembering to reverse the inequality sign since we are dividing by a negative number:
w ≤ -350 / -35
w ≤ 10
Therefore, Sam can continue spending money for a maximum of 10 weeks.