Unit 4 Portfolio Part 1
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
10,000 divided by 14 = 714 714 ≤ 10,000
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
T = 50x
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
c) T = 50x
d) The most money you can hope to earn from your business is $50 times the number of cakes you sell (T = 50x).
e) To calculate the total profit, you need to subtract the total cost of making the cakes from the total earnings:
Total Profit = Total Earnings - Total Cost
Total Earnings = T = 50x
Total Cost = 14x (the cost of making each cake multiplied by the number of cakes)
Total Profit = 50x - 14x = 36x
Whether you made or lost money depends on the value of x. If x is greater than zero, you made money. If x is zero, you broke even. If x is negative, you lost money.