Unit 4 Portfolio Part 1

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
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

*

1 answer

a) The inequality that represents the cost of making x amount of cakes should not exceed the investment of $10,000 is:

14x ≤ 10000

b) Solving the inequality:

14x ≤ 10000
x ≤ 10000/14
x ≤ 714.29

Rounding to the nearest dollar:
x ≤ 714

The graph of the solution would be x ≤ 714, where x represents the number of cakes and the inequality indicates that the number of cakes should not exceed 714 in order to stay within the $10,000 investment.