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.
≥ < > ≤
*
1 point
x =714.29
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
50x = T
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
This is a required question
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
b) To solve the inequality, we need the inequality sign. Please provide it so that I can give you the solution and determine the graph of the solution.
c) The equation that represents the total earnings is T = 50x.
d) To determine the most money you can hope to earn from your business, you need the value of x from part b. Please provide the inequality sign so that I can calculate it.
e) To determine the total profit, we need the equation from part c and the starting costs. Please provide the starting costs so that I can calculate the total profit and whether you made money or lost money.
b) To solve the inequality x ≥ 714.29, we can simply round 714.29 to 714. Now, since the inequality is "greater than or equal to," we include the value 714 in the solution. Therefore, the solution to the inequality is x ≥ 714.
Now, let's choose the graph of the solution. Option A, Option B, Option C, and Option D are referred to as the choices for the graph of the solution. Unfortunately, without having access to the images, I am unable to describe each option. However, you can choose the graph that corresponds to the inequality x ≥ 714.
c) The equation that represents your total earnings, T, based on the price of each cake (represented by x) and how many cakes you sell can be written as follows: T = 50x. Here, T represents your total earnings, and x represents the number of cakes you sell.
d) To find the most money you can hope to earn from your business, we need to combine the solution from part b (x ≥ 714) and the equation from part c (T = 50x). Since x represents the number of cakes you sell and we want to maximize the earnings, we should choose the largest possible value for x from the solution to part b. In this case, the largest value of x is 714 (rounding to the nearest whole number). Therefore, to find the most money you can hope to earn, substitute x = 714 into the equation T = 50x:
T = 50(714)
T = 35,700
Hence, the most money you can hope to earn from your business is $35,700.
e) To determine your total profit, we need to consider the costs taken into account. Unfortunately, the costs are not mentioned in the given information, so we cannot calculate the total profit or determine whether you made money or lost money.
b) We need to solve the inequality x ≥ 714.29. To represent this on a number line, we will shade the region to the right of 714.29 and include the endpoint with a closed circle. This indicates that x can take any value greater than or equal to 714.29. The graph that represents this is Option C.
c) The equation that represents the total earnings (T) based on the price per cake ($50) and the number of cakes sold (x) is T = 50x.
d) From part b, we know that x ≥ 714.29. Let's substitute this value into the equation from part c: T = 50 * 714.29 ≈ $35,714.50. Therefore, the most money you can hope to earn from your business is approximately $35,714.
e) To calculate the total profit, we need to subtract the initial costs from the total earnings. Since we haven't been given any information about the costs, we cannot determine the total profit or whether you made money or lost money.