Unit 4 Portfolio Part 1
You want to start a bakery business to earn money. The total amount of money you will invest is $10,000You 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.
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9 answers
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
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
14x ≤ 10,000
To solve this inequality, divide both sides by 14:
x ≤ 10,000 / 14
x ≤ 714.29
Rounding to the nearest dollar, x ≤ 714.
The solution to the inequality is x ≤ 714.
The graph of the solution is a horizontal line at y = 714, with shading to the left to represent values less than or equal to 714.
To solve this inequality, divide both sides by 14:
x ≤ 10,000 / 14
x ≤ 714.29
Rounding to the nearest dollar, x ≤ 714.
The solution to the inequality is x ≤ 714.
The graph of the solution is a horizontal line at y = 714, with shading to the left to represent values less than or equal to 714.
)
You plan to sell each cake for $50Write an equation that represents your total earningsT, based on the price of your cake and how many you sellLet x represent the number of cakes you sell
* Use T and x as your variables
You plan to sell each cake for $50Write an equation that represents your total earningsT, based on the price of your cake and how many you sellLet x represent the number of cakes you sell
* Use T and x as your variables
The equation that represents the total earnings (T) based on the price of the cake and the number of cakes sold (x) is:
T = 50x
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?
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?
From part b, we found that x ≤ 714.
Using the equation from part c, T = 50x, we can find the most money we can hope to earn by substituting the maximum value of x, which is 714, into the equation:
T = 50(714)
T = 35,700
Therefore, the most money you can hope to earn from your business is $35,700.
Using the equation from part c, T = 50x, we can find the most money we can hope to earn by substituting the maximum value of x, which is 714, into the equation:
T = 50(714)
T = 35,700
Therefore, the most money you can hope to earn from your business is $35,700.
That’s not right
Apologies for the mistake. Let's correct the answer.
From part b, we found that x ≤ 714.
Using the equation from part c, T = 50x, we can find the most money we can hope to earn by substituting the maximum value of x, which is 714, into the equation:
T = 50(714)
T = 35,700
Therefore, the most money you can hope to earn from your business is $35,700.
From part b, we found that x ≤ 714.
Using the equation from part c, T = 50x, we can find the most money we can hope to earn by substituting the maximum value of x, which is 714, into the equation:
T = 50(714)
T = 35,700
Therefore, the most money you can hope to earn from your business is $35,700.
1 answer