Question

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.

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

Answer 1

Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:

Where 'x' is the number of weeks. Now let's solve it for 'x'.

Subtract 950 to both sides:

Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:

So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.