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 inequality to determine the number of weeks Sam can continue spending money is:
950 - 35w ≥ 600
To solve the inequality, we can subtract 950 from both sides to isolate the term with w:
-35w ≥ 600 - 950
Simplifying the right side gives:
-35w ≥ -350
Dividing both sides by -35 flips the inequality:
w ≤ -350 / -35
Simplifying the right side gives:
w ≤ 10
Therefore, the solution to the inequality is w ≤ 10.
The correct answer is D. 950 - 35w ≥ 600; w ≤ 10