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
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
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) To solve this inequality, we divide both sides by 14:
x ≤ 10000/14
x ≤ 714.29 (rounding to the nearest dollar, this becomes 714)
The graph that represents this solution is Option B:
-100 0 100 200 300 400 500 600 700 (700 has the dot) 800
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)
a) The inequality that represents the cost of making x amount of cakes should not exceed the investment of $10,000 would be:
14x ≤ 10000
b) To solve this inequality, we divide both sides by 14:
x ≤ 10000/14
Rounding to the nearest dollar, we get:
x ≤ 714
Therefore, the solution to the inequality is x ≤ 714.
Now, let's choose the graph of the solution:
The graph with the solution x ≤ 714 is represented by Option C:
-50 0 50 100 150 200 (200 has an open dot)