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.
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'.