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.
a)
Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.
* Do not include the dollar symbol in the inequality
You can copy and paste the inequality sign below in your answer.
≥ < > ≤
*
1 point
14x ≤ 10,000
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.
≥ < > ≤
***Make sure to have x and an inequality sign in your answer
*
a) The inequality that represents the cost of making x amount of cakes should not exceed the investment of $10,000 is:
14x ≤ 10,000
b) To solve this inequality, we divide both sides by 14:
x ≤ 714.29
Rounded to the nearest whole number, the solution is:
x ≤ 714
a) The inequality that represents the cost of making x amount of cakes should not exceed the investment of $10,000 is:
14x ≤ 10,000
b) To solve this inequality:
14x ≤ 10,000
Divide both sides of the inequality by 14:
x ≤ 10,000/14
Simplify:
x ≤ 714.29
Rounding to the nearest dollar:
x ≤ 714
The graph of the solution is x ≤ 714.
a) The inequality that represents the cost of making x amount of cakes should not exceed the investment of $10,000 is:
14x ≤ 10,000
b) To solve this inequality, divide both sides by 14:
14x/14 ≤ 10,000/14
x ≤ 714.29
Since the solution represents the number of cakes, and we can't have a fraction of a cake, we round down to the nearest whole number:
x ≤ 714
The graph of the solution is represented by a closed circle on the number line at x=714, and shading to the left of that point. This indicates that selling 714 or fewer cakes will ensure that the cost of making them does not exceed the investment.
The solution can also be represented using interval notation as (negative infinity, 714].