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.
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 ≥ 11
The correct inequality for the number of weeks Ken can withdraw money is A) 950 - 35w ≥ 600; w ≤ 10.
To solve the inequality, we can start by subtracting 950 from both sides to isolate the term with w:
-35w ≥ -350
Next, divide both sides by -35 to solve for w:
w ≤ 10
Therefore, Ken can withdraw money for a maximum of 10 weeks.