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.
1.950 + 35w > 600; w ≥ 11
2.950 − 35w ≥ 600; w ≤ 11
3.950 + 35w ≥ 600; w ≥ 10
4.950 − 35w ≥ 600; w ≤ 10
The correct inequality is:
1. 950 - 35w ≥ 600; w ≤ 11
To solve the inequality, you would subtract 950 from both sides:
-35w ≥ 600 - 950
Simplifying further:
-35w ≥ -350
To isolate the variable w, divide both sides of the inequality by -35. Since we are dividing by a negative number, the inequality sign should be reversed:
w ≤ (-350)/(-35)
w ≤ 10
Therefore, the number of weeks Sam can continue spending money is 10 or less.