Answer:
The inequality 5x + 4y ≤ 500 represents the possible combinations of pounds of sausage (x) and bacon (y) you can buy within the given meat budget of $500. Let's break down the inequality and understand how to interpret it.
In this inequality, "5x" represents the cost of sausage, and "4y" represents the cost of bacon. The symbol "≤" means "less than or equal to," indicating that the total cost of the sausage and bacon combined should be less than or equal to $500.
To determine the possible combinations of pounds of sausage and bacon you can buy, you can substitute different values for x and y into the inequality and see if they satisfy the condition.
For example, let's say you decide to buy 10 pounds of sausage (x = 10) and 20 pounds of bacon (y = 20). Plugging these values into the inequality, we get:
5(10) + 4(20) ≤ 500
50 + 80 ≤ 500
130 ≤ 500
Since 130 is less than or equal to 500, this combination of 10 pounds of sausage and 20 pounds of bacon is within the budget.
Similarly, you can try different combinations of pounds of sausage and bacon to find the ones that satisfy the inequality. For instance, you could try x = 20 and y = 10, or x = 15 and y = 15, and so on.
By using the inequality 5x + 4y ≤ 500, you can determine the feasible combinations of sausage and bacon that you can buy within the given meat budget of $500.