1) List three coordinates that satisfy the inequality \(-4x+2y\le8\), but do not satisfy the inequality \(y<4x+4\).
2) List three coordinates that satisfy the inequality \(y<4x+4\), but do not satisfy the inequality \(-4x+2y\le8\).
3) List three coordinates that satisfy both inequalities: \(-4x+2y\le8\) and \(y<4x+4\).
4) List three coordinates that do not satisfy either: \(-4x+2y\le8\) or \(y<4x+4\).
2) List three coordinates that satisfy the inequality \(y<4x+4\), but do not satisfy the inequality \(-4x+2y\le8\).
3) List three coordinates that satisfy both inequalities: \(-4x+2y\le8\) and \(y<4x+4\).
4) List three coordinates that do not satisfy either: \(-4x+2y\le8\) or \(y<4x+4\).
Just A Spoonful Of Sugar...
Do your favorite foods contain too much sugar? The American Heart Association recommends limiting the amount of added sugars to \(100\) calories per day for women and \(150\) calories per day for men. Many foods have natural sugars. Food products that have sugars added will have the type of sugar added listed in the food label. Some examples are sugar, honey, high-fructose corn syrup, molasses, corn syrup, dextrose, fructose, sucrose, and fruit juice.
Below are several labels from drinks and snacks that have added sugars.
Below are several labels from drinks and snacks that have added sugars.
Choose one drink and one snack from the products above and graph the linear inequality for the number of added sugar calories per serving. Let \(x\) be the drink serving size and let \(y\) be the snack serving size. There are \(4\) calories per \(1\) gram of sugar.
1) Is it possible to snack on an entire package of Pop Tarts and a can of Monster and stay within the recommended added sugar calories? Explain your answer.
2) Is it possible to eat one package of Oreos and drink a \(20\) oz bottle of Coca Cola and stay within the recommended added sugar calories? Explain your answer.
2) Is it possible to eat one package of Oreos and drink a \(20\) oz bottle of Coca Cola and stay within the recommended added sugar calories? Explain your answer.