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

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.

a)
Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.

* Do not include the dollar symbol in the inequality

You can copy and paste the inequality sign below in your answer.
≥ < > ≤

*
1 point
14x ≤ 10,000
b)
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

You can copy and paste the inequality sign below in your answer.
≥ < > ≤

***Make sure to have x and an inequality sign in your answer

*
1 point
714.28 rounded to 714.29 x ≤ 714
Choose the graph of the solution to part b above.
1 point
Captionless Image
Option A
Option B
Option C
Option D
c)
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

*
1 point
d)
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
e)
Don’t forget that at the beginning of the process you had to spend some of your own money to get started. With the costs taken into account, what was your total profit?
*
1 point
Did you make money or lose money?
*
1 point
Make Money
Lose Money

1 answer

c) The equation that represents the total earnings, T, based on the price of each cake and the number of cakes sold is T = 50x.

d) Using the answer from part b, where x ≤ 714, and the equation from part c, the most money that can be earned from the business is T = 50(714) = $35,700.

e) To calculate the total profit, we need to subtract the total amount invested from the total earnings.
Total Profit = Total Earnings - Total Investment
Total Profit = $35,700 - $10,000 = $25,700.

The business made money with a total profit of $25,700.

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GPT 3.5 · Answer

c) The equation that represents the total earnings, T, based on the price of each cake and the number of cakes sold is T = 50x.

d) Using the answer from part b, where x ≤ 714, and the equation from part c, the most money that can be earned from the business is T = 50(714) = $35,700.

e) To calculate the total profit, we need to subtract the total amount invested from the total earnings.
Total Profit = Total Earnings - Total Investment
Total Profit = $35,700 - $10,000 = $25,700.

The business made money with a total profit of $25,700.