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.
a) 1000 - 100w ≤ 500; w ≥ 6
b) 1000 + 100w ≤ 500; w ≤ 5
c) 1000 + 100w ≥ 500; w ≥ 6
d) 1000 - 100w ≥ 500; w ≤ 5

D.

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks =

Total Money withdrawn in 'w' weeks =

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount =

Now, final amount must be greater than or equal to $500. So,

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

Therefore, the correct option is (D).

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