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) 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

which expression is it?

1 answer

The correct inequality to determine the number of weeks Sam can continue spending money is:

950 - 35w ≥ 600, where w represents the number of weeks.

To solve this inequality, we can subtract 950 from both sides:

-35w ≥ 600 - 950

-35w ≥ -350

Then, dividing both sides by -35 (and since we're dividing by a negative number, we need to flip the inequality sign):

w ≤ -350 / -35

w ≤ 10.

Therefore, the solution to the inequality is w ≤ 10.