Question

B. Consider the total amount you’re willing to spend on the business and 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.

I have a budget of $140.55 to buy (15 sweatshirts for 7.59 each) and (30 bags $.89 cents each)

write an inequality that can then graphed.

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:

Answer 2

$ 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.