Question

Write a system of linear inequalities to model this situation.Bob has at least $5,000 in savings. His savings balance is more than 3 times greater than his checking balance.

Answer 1

To represent Bob's financial situation, we use the inequalities s ≥ 5000 for his savings being at least $5,000, and s > 3c to denote that his savings balance is greater than three times his checking balance.

Step-by-step explanation:

To model the situation described for Bob's savings and checking account balances using linear inequalities, we need to define variables for each type of account. Let's let s represent the savings account balance and c represent the checking account balance. The problem states two conditions relating these two variables:

• s ≥ $5,000: This represents that Bob has at least $5,000 in his savings account.
• s > 3c: Bob's savings balance is more than 3 times his checking balance.

Putting these together, we have the following system of inequalities to describe Bob's financial situation:

• s ≥ 5000
• s > 3c

These inequalities can be used to analyze Bob's financial status and make decisions accordingly.