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. t represents the cost of making x amount of cakes should not exceed this investment.

Question

Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.
14x ≤ 10,000
Solve this inequality and choose the graph of the solution.
* Make sure to round to the nearest dollar.
714
Choose the graph of the solution to part b above.

Answer 1

The graph of the solution to the inequality 14x ≤ 10,000 is a line with a slope of -14 and a y-intercept at (0, 10000/14). The line intersects the x-axis at (714, 0) and the y-axis at (0, 714). So, the correct graph of the solution is the line y = 14x, with a shaded region below the line.

Answer 2

You plan to sell each cake for $50. Write an equation that represents your total earnings, T, based on the price of your cake and how many you sell. Let x represent the number of cakes you sell.

* Use T and x as your variables

Answer 3

The equation that represents your total earnings, T, based on the price of your cake and how many you sell is:

T = 50x

In this equation, T represents your total earnings, x represents the number of cakes you sell, and 50 represents the price of each cake.

Answer 4

Using your answer from part b and your equation from part c, what is the most money you can hope to earn from your business?
*
1 point

Answer 5

To determine the most money you can hope to earn from your business, you need to consider the maximum value for the number of cakes you sell, x. In this case, as you are limited by the inequality x ≤ 714, the highest value you can use for x is 714.

Using the equation T = 50x, if you sell 714 cakes, the maximum amount of money you can hope to earn is:

T = 50 * 714
T = $35,700

Therefore, the most money you can hope to earn from your business is $35,700.