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

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 ≤ 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.