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.
≥ < > ≤
*
b)
The solution to the inequality 14x ≤ 10,000 is x ≤ 714.29.
The graph of the solution would be a dashed line at x = 714.29, with all values to the left of the line shaded.
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 and find the graph of the solution, we need to isolate the variable x.
Divide both sides of the inequality by 14:
14x/14 ≤ 10,000/14
Simplifying:
x ≤ 714.29
Rounding to the nearest dollar, the solution is:
x ≤ 714
The graph of the solution would be a shaded region on a number line, with all values of x less than or equal to 714 included in the region.
a) The inequality that represents the cost of making x amount of cakes should not exceed the investment is:
14x ≤ 10,000
b) To solve this inequality, divide both sides by 14:
x ≤ 10,000 / 14
x ≤ 714.29 (rounded to the nearest dollar)
The graph of the solution is a vertical line with a closed circle at x = 714.