Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.

Question

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.

Responses
A 1000 - 100w ≤ 500; w ≥ 61000 - 100w ≤ 500; w ≥ 6
B 1000 + 100w ≤ 500; w ≤ 51000 + 100w ≤ 500; w ≤ 5
C 1000 + 100w ≥ 500; w ≥ 61000 + 100w ≥ 500; w ≥ 6
D 1000 - 100w ≥ 500; w ≤ 51000 - 100w ≥ 500; w ≤ 5
E 1000 - 100w ≥ 500; w ≥ 5

Answer 1

The correct inequality for the number of weeks Amy can withdraw money is:

A) 1000 - 100w ≤ 500; w ≥ 6

To solve it, we can subtract 1000 from both sides:

-100w ≤ -500

Then, divide both sides by -100 (and reverse the inequality sign because we are dividing by a negative number):

w ≥ 5

Therefore, Amy can withdraw money for at least 6 weeks.