Question

Consider the total amount you’re willing to spend on the business & how much it will cost you to make your items. Write an inequality that represents the fact that while making each item, you can’t exceed this limit. Be sure to include the cost per item in this inequality. Make sure your inequality can be graphed.

I would be making crochet coasters & potholders. I am willing to spend $129 for this business. 0.25 cents for each coaster $1 each for each potholder. I would sell the coasters for $1.25 each and the potholders for 2.50 each.

Answer 1

$ 140.55 ≤ $ 7.59x + 0.89$ y

$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.

Explanation:

$ 140.55 ≤ $ 7.59x + 0.89$ y

Let x be the number of sweatshirts and y be the number of bags where y= 2x

and 0≤ x ≤ 15.

$ 140.55 ≤ $ 7.59x + 0.89$ (2x) Putting y= 2x

$ 140.55 ≤ $ 7.59x + $ 1.78x

$ 140.55 ≤ $ 9.37x where 0≤ x ≤ 15.

Explanation: