Final answer:
Han can buy a number of pounds of grapes represented by the variable 'x', where the inequality 3.99x ≤ 25 describes the relationship between the cost per pound of grapes and Han's budget. The total cost of the grapes, therefore, must not exceed $25.
Step-by-step explanation:
To find the inequality representing the number of pounds of grapes Han could buy, we set up an inequality where 3.99x ≤ 25. Here, x represents the number of pounds of grapes Han can purchase and 3.99 is the cost per pound of grapes. Han's budget is $25, so we multiply the quantity he can purchase (x) by the price per pound to make sure it does not exceed his budget.
Since Han cannot spend more than he has, the total cost of the grapes must be less than or equal to $25. Thus, the inequality is 3.99x ≤ 25, indicating that the product of the number of pounds of grapes and the price per pound must be less than or equal to $25.
Example:
If Han wants to buy 5 pounds of grapes, the inequality would be calculated as follows: 3.99 * 5 ≤ 25, which gives us 19.95 ≤ 25. This means Han can buy 5 pounds of grapes and still be within his budget.