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.

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

1 answer

Let's define a variable for the number of cakes you will make and sell. Let's call this variable "x".

To find the maximum number of cakes you can make and sell within your budget, we need to solve the inequality:

14x ≤ 10,000

Dividing both sides of the inequality by 14, we get:

x ≤ 714.29

Since we can't make or sell a fractional number of cakes, we round down to the nearest whole number:

x ≤ 714

Therefore, the maximum number of cakes you can make and sell within your budget is 714.

Now let's graph the solution on a number line. We'll represent the number of cakes on the horizontal axis:

|---------------------------------------------------(714)--------------------------------------------------->

The closed circle on 714 indicates that it is included in the solution, because it is less than or equal to. Since we can't have a fraction of a cake, we don't include any numbers beyond 714.

This means that any number of cakes less than or equal to 714 is within your budget.