am 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
The correct inequality is 950 - 35w ≥ 600; w ≤ 10.
To solve the inequality, we can subtract 950 from both sides to isolate -35w:
-35w ≥ 600 - 950
Simplifying, we have -35w ≥ -350.
To solve for w, we divide both sides by -35, remembering to reverse the inequality sign since we are dividing by a negative number:
w ≤ -350 / -35
Simplifying further, we have w ≤ 10.
Therefore, the solution to the inequality is w ≤ 10.