Final answer:
The inequality 0.1x < 5.00 can be represented by a real-world problem where x represents the number of gallons of gas a person buys. The problem is finding the maximum number of gallons of gas that can be bought with 5 dollars. The solution is that a person can buy a maximum of 50 gallons of gas with 5 dollars.
Step-by-step explanation:
The inequality 0.1x < 5.00 can be represented by a real-world problem. Let's say x represents the number of gallons of gas a person buys. The inequality can be read as '0.1 times the number of gallons of gas is less than 5 dollars.' So, the problem can be stated as finding the maximum number of gallons of gas that can be bought with 5 dollars.
To solve the inequality, we divide both sides by 0.1 to isolate x: x < 5.00 / 0.1 = 50 gallons.
Therefore, the real-world problem represented by the inequality is that a person can buy a maximum of 50 gallons of gas with 5 dollars.