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. ≥ < > ≤
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 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) Solving the inequality:
First, divide both sides of the inequality by 14:
x ≤ 10,000/14
x ≤ 714.29
Round to the nearest dollar:
x ≤ 714
The graph of the solution is a vertical line with a closed circle at (714,0) on the x-axis, and shaded to the left of the line to represent all the possible values of x that satisfy the inequality.
a) The inequality representing the cost of making x amount of cakes should not exceed the investment is:
14x ≤ 10,000
b) Solving the inequality:
14x ≤ 10,000
Divide both sides of the inequality by 14:
x ≤ 10,000/14
x ≤ 714.29 (rounded to the nearest dollar)
Therefore, 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 can be written as:
14x ≤ 10,000
b) To solve this inequality, divide both sides by 14:
x ≤ 10,000 / 14
x ≤ 714.2857
Rounding to the nearest whole number, we have:
x ≤ 714
The solution to the inequality is x ≤ 714. This means that the number of cakes you can make should not exceed 714 in order for the cost of making them to stay within the $10,000 investment.
For the graph of the solution, we can represent it on a number line as a closed circle at 714, indicating that 714 is included in the solution, and shading to the left of that point to show all the possible values of x that satisfy the inequality.