Final answer:
Pet Supplies must sell at least 400 bags of natural dog food to make a minimum profit of $2400, represented by the inequality 6x ≥ 2400, where x is the number of bags sold.
Step-by-step explanation:
The question involves solving an inequality to determine the minimum number of bags of dog food Pet Supplies needs to sell in order to achieve a profit of at least $2400. Let's define the variable x to be the number of bags of dog food sold. The profit made per bag is $6, so the total profit can be expressed as 6x. The inequality representing the situation where the profit is no less than $2400 is 6x ≥ 2400.
To solve this inequality, we divide both sides by 6, yielding x ≥ 400. This means the store needs to sell at least 400 bags of dog food.
On a number line, the solution would be represented by a closed circle at 400 with a line extending to the right, indicating all numbers greater than or equal to 400 are part of the solution.
To solve this problem, let's define a variable, x, as the number of bags of dog food that Pet Supplies needs to sell. Since Pet Supplies makes a profit of $6 per bag, the total profit can be expressed as 6x.
The problem states that Pet Supplies wants to make a profit of no less than $2400, so we can write the inequality:
6x ≥ 2400
To solve for x, we divide both sides of the inequality by 6:
x ≥ 400
Therefore, Pet Supplies needs to sell at least 400 bags of dog food in order to make a profit of no less than $2400.