b) 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.

Question

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 assume x represents the number of cakes sold.

The total cost of making the cakes will be 14x.

To make a profit, the amount earned from selling the cakes must be greater than the total cost. In this case, the amount earned is represented by x.

So the inequality to solve is:

x > 14x - 10,000

To solve for x, let's subtract 14x from both sides:

-13x > -10,000

Now, divide both sides by -13, remembering to reverse the inequality sign:

x < -10,000 / -13

Simplifying further:

x < 769

Rounding to the nearest dollar, the solution is x < 769.

Now, let's plot the graph below:

[Graph]
The graph represents the number of cakes sold (x) on the x-axis and the amount earned on the y-axis. Since the inequality is x < 769, there is an open circle at (769, 0) and the graph extends to the left of this point.

The shaded region represents the solution to the inequality, indicating that the number of cakes sold must be less than 769 to make a profit.