Question

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.

Do not include dollar signs in the solution Your answer

Answer 1

Let's define the variables:
x = number of cakes made and sold
P = total profit

The total cost to make x cakes is 14x dollars.
The total profit from selling x cakes is P = revenue - cost = 40x - 14x = 26x dollars.

We want to make a profit of at least $10,000. Therefore, we can set up the inequality:
26x ≥ 10000

To solve for x, divide both sides of the inequality by 26:
x ≥ 10000/26
x ≥ 384.62

Since we cannot make a fraction of a cake, we round up to ensure that the number of cakes made and sold is at least 385.

Thus, the solution to the inequality is:
x ≥ 385

Graph of the solution:
To graph this, we can plot a closed circle at x = 385 on a number line to indicate that it is included in the solution. Then, we can draw a line to the right to show all the values greater than or equal to 385.

-------------------●------------------------------>
385

This graph represents the solution to the inequality x ≥ 385.