Research and select two different combinations of two food items, write inequalites,then graph each of them

Question

The full question: dinner is entirely up to you! research and select two different combinations of two food items that are either of vegetable or starch such as rice potato noodles etc or some type of seafood. in your research you want to find out how many grams of protein are in one serving. your goal is to consume least 52 grams but no more 65 grams of protein for dinner. present an inequality to represent each amount of protein then graph both of them on the same graph.

 

The 2 combinations of food I have are

Brocolli (4.2gramsprotein/serving)

Pasta (2.9gProtein/serving)

 

And

 

Tuna (26gProtein/serving)

Wild Rice (24gProtein/serving)

Answer 1

First, I think you have to replace either the broccoli or the pasta. I think you are supposed to have a vegetable/grain and a seafood in each pair.

 

If we let x be the amount (number of servings) of seafood, and y represent the amount of vegetable/grain, then for the tuna and wild rice meal we have the compound inequality    52 ≤ 26x + 24y ≤ 65

 

Be sure you understand this inequality. The middle represents the total protein for this meal, which has to be between 52 and 65 grams.

 

You'll do the same for the other pair, giving  52 ≤ 4.2x + 2.9y ≤ 65

 

Then you graph your two compound inequalities, each of which will create a shaded band across the graph.