Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account at the end of the summer. He withdraws $35 a week for entertainment. Write an inequality for the number of weeks Ken can withdraw money, and solve the inequality.

Question

Responses
A 950 - 35w ≥ 600; w ≤ 10950 - 35w ≥ 600; w ≤ 10
B 950 - 35w ≥ 600; w ≤ 11950 - 35w ≥ 600; w ≤ 11
C 950 + 35w ≥ 600; w ≥ 10950 + 35w ≥ 600; w ≥ 10
D 950 + 35w ≥ 600; w ≥ 11950 + 35w ≥ 600; w ≥ 11

Answer 1

The correct answer is B.

The inequality is: 950 - 35w ≥ 600
Subtract 950 from both sides: -35w ≥ -350
Divide by -35 to solve for w: w ≤ 10

Therefore, Ken can withdraw money for 10 weeks and still have at least $600 in the account at the end of the summer.