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.
A. 950+35w>600; w≥11
B. 950−35w≥600; w≤11
C. 950+35w≥600; w≥10
D. 950−35w≥600; w≤10
The correct answer is D. 950-35w≥600; w≤10.
To solve the inequality, we need to isolate the variable w.
950 - 35w ≥ 600
Subtract 950 from both sides:
-35w ≥ -350
Divide both sides by -35 (remember that dividing by a negative number reverses the inequality):
w ≤ 10
Therefore, the number of weeks Sam can continue spending money is w ≤ 10.