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.
Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.
Solve the inequality
* Make sure to round to the nearest dollar.
The inequality that represents the cost of making x amount of cakes should not exceed the investment is:
14x ≤ 10000
To solve this inequality, divide both sides by 14:
x ≤ 10000/14
Simplifying,
x ≤ 714.29
Rounding this to the nearest dollar,
x ≤ 714
Therefore, you should make a maximum of 714 cakes to ensure the cost does not exceed the investment.
To solve the inequality, we need to consider the cost of making "x" number of cakes should not exceed the investment of $10,000.
The cost of making each cake is given as $14. Therefore, the total cost of making "x" cakes will be 14x.
The inequality representing the cost of making "x" amount of cakes should not exceed the investment is:
14x <= 10,000
To solve this inequality, we need to isolate the variable "x". To do that, we can divide both sides of the inequality by 14:
14x/14 <= 10,000/14
x <= 714.28
Since the value of "x" represents the number of cakes, it cannot be a decimal. Therefore, we round down the result to the nearest whole number:
x <= 714
Hence, the number of cakes should not exceed 714 to stay within the $10,000 investment.
To write an inequality that represents the cost of making x amount of cakes not exceeding the investment of $10,000, we need to consider that the cost of each cake is $14. Let's proceed step by step.
1. The total cost of making x cakes can be found by multiplying the cost per cake with the number of cakes:
Total cost = $14 * x
2. To ensure that this total cost does not exceed the investment of $10,000, we can write the following inequality:
$14 * x ≤ $10,000
Now, let's solve this inequality and round the answer to the nearest dollar:
$14 * x ≤ $10,000
Divide both sides of the inequality by $14 to isolate x:
x ≤ $10,000 / $14
x ≤ 714.29
Since we're dealing with a whole number, rounding x down to the nearest dollar, we get:
x ≤ $714
Therefore, the inequality that represents the cost of making x amount of cakes should not exceed the $10,000 investment is x ≤ $714.