Question

Jane has made 12 cakes to sell. The cost of the ingredients to make the 12 cakes is 6 dollars. She plans to sell each cake for 5 dollars. The amount of money Jane will earn is represented by the equation, m=5c−6 , where m represents the amount of money earned, and c represents the number of cakes sold. Jane makes the claim: "If I make more money than the cost of the ingredients, then the following is true, c > 1 and c < 13." Which of the following statements provide support for Jane's claim? Select THREE that apply.

Answer 1

The following statements provide support for Jane's claim:

1. If Jane sells no cakes, she will not make any money. This means c > 0.
2. If Jane sells all 12 cakes, she will make 54 dollars. This means c < 13.
3. If Jane sells one cake, she will make a profit of $5 - $6 = -$1, which is less than the cost of the ingredients. This means c > 1 is necessary for her to make a profit.