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.

Question

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

Choose the graph of the solution to part b above

A -50 0 50 100 150 200 (200 has the dot) 250
B -100 0 100 200 300 400 500 600 700 (700 has the dot) 800
C -50 0 50 100 150 200 (200 has the open dot)
D -400 -200 0 200 400 600 (has a open dot between 600 and 800) 800 1,000 1,200

O Option A
O Option B
O Option C
O Option D

Answer 1

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

14x ≤ 10,000

b) Solving this inequality:

14x ≤ 10,000
x ≤ 10,000/14
x ≤ 714.29

Rounded to the nearest dollar, x ≤ 714

The graph of the solution would be:
O Option B (700 has the dot)