Sam starts the with $950 in his wallet. He aims to have a of $600 left by the end of the summer. Each week, he spends $35 on activities. Write an to the number of weeks Sam can continue spending money, and solve the inequality.
(1 point)
950+ 35w > 600; w > 11
950-35w > 600; w ≤ 11
950+35w > 600; w > 10
0950 - 35w > 600; w < 10
The correct inequality is 950-35w > 600; w ≤ 11.
To solve it, we can subtract 600 from both sides:
950 - 600 - 35w > 0
Simplifying this, we get:
350 - 35w > 0
Now, we can divide both sides by -35 (remember to flip the inequality sign when dividing by a negative number):
(350 - 35w) / -35 < 0 / -35
-10 + w < 0
Finally, adding 10 to both sides gives us the final answer:
w < 10