16. You must maintain a minimum balance of $50 in your checking account. You currently have a balance of $280. a. Write and solv

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16. You must maintain a minimum balance of $50 in your checking account. You currently have a balance of $280. a. Write and solv

e an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.b. Your bank charges an ATM fee of $2.50, which is charged each time you withdraw $20. Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance in this situation.

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1 answer:

harina [3.8K] · Answer 1 · 2026-02-28T11:08:19+03:00

Answer:

a.

$280 - n*20\geq50\\n\leq11$

b.

$280 - n*(20+2.50)\geq 50\\n\leq10$

Explanation:

a. In the first scenario, the aim is to ensure that at least $50 (balance ≥ 50) remains after withdrawing "n" $20 bills from a starting amount of $280 (balance = 280 - 20n). The inequality can be formulated and worked out as follows:

$280 - n*20\geq50\\n\leq\frac{280-50}{20} \\n\leq11.5$

Given that the question concerns $20 bills, only complete numbers should be accounted for, leading to the inequality shown below:

$n\leq11$

b. This case resembles the previous one but with an added fee of $2.50 per $20 bill withdrawn (balance = 280 - n(20+2.50)). The inequality can be represented as:

$280 - n*(20+2.50)\geq 50\\n\leq\frac{280-50}{22.5}\\n\leq10.22$

Again, whole numbers are to be used, and the resulting inequality is:

$n\leq10$