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.

solve this inequality and choose the graph of the solution make sure to round to the nearest whole number.

1 answer

Let's assume the number of cakes you will make and sell is represented by the variable 'x'.

The cost of making each cake is $14, so the total cost of making 'x' cakes would be 14x.

The total amount of money you will invest is $10,000, which means the cost of making 'x' cakes should not exceed $10,000.

So, our inequality equation becomes:

14x ≤ 10000

To solve this inequality, we divide both sides of the equation by 14:

x ≤ 714.28

Rounding to the nearest whole number, the maximum number of cakes you can make and sell is 714.

Graphing the solution on a number line, we represent the range as:

x ≤ 714

Below is a simple graph representing this solution on a number line:

---------------------[===================]->

0 714 1000

On the graph, the shaded part from 0 to 714 represents the possible values of 'x'.