You want to start a bakery business to earn money. The total amount of money you will invest is $10,000. You will be selling cakes. It will cost you $14 to make each cake.

Solve this inequality and choose the graph of the solution.
* Make sure to round to the nearest dollar.

1 answer

Let's represent the number of cakes you will sell as x.

Since it costs $14 to make each cake and you want to invest $10,000, the total cost to make the cakes will be 14x.

Thus, the inequality representing the problem is:
14x ≤ 10,000

To solve this inequality, we can divide both sides by 14:
x ≤ 10,000/14
x ≤ 714.29

Since you cannot sell a fraction of a cake, you will have to round down to the nearest whole number:
x ≤ 714

Therefore, the solution to the inequality is x ≤ 714.

To graph this solution, we can plot a closed circle at x = 714 and shade the area to the left of the line, representing all the possible values of x that satisfy the inequality.