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)
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 A.
The inequality should be 950 - 35w ≥ 600, since Sam wants to have a minimum of $600 left at the end of the summer.
Solving this inequality gives:
950 - 35w ≥ 600
-35w ≥ 600 - 950
-35w ≥ -350
w ≤ -350/-35
w ≤ 10
So, the number of weeks Sam can continue spending money is w ≤ 10.