Question

A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking account and some in the savings account.(They might not deposit all of it and keep some of the money as cash.) The bank requires a minimum balance of $50 in the savings account. It does not matter how much money is kept in the checking account.

Write a system of inequalities to represent the constraints. Specify what each variable represents

Answer 1

Answer and Step-by-step explanation:

Let's represent the amount of money the customer deposits in the checking account as "C", and the amount of money the customer deposits in the savings account as "S". Then we can write the following system of inequalities to represent the constraints:

C + S ≤ 600

This inequality represents the fact that the total amount deposited cannot exceed $600.

S ≥ 50

This inequality represents the fact that the savings account must have a minimum balance of $50.

C and S are both non-negative, meaning that the customer cannot deposit a negative amount of money in either account.

Therefore, the system of inequalities to represent the constraints is:

C + S ≤ 600

S ≥ 50

C ≥ 0

S ≥ 0