Write a System of Linear Equations in Three Variables, and Then

question 2

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-Ron attends a cocktail party (with his graphing calculator in his pocket) . He wants to limit his food intake to 103 g protein, 93 g fat, and 135 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?

• A) 7 mushrooms; 4 meatballs; 2 eggs
• B) 4 mushrooms; 2 meatballs; 7 eggs
• C) 2 mushrooms; 7 meatballs; 4 eggs
• D) 8 mushrooms; 5 meatballs; 3 eggs

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Definitions:

Sexual Selection

A mechanism of evolution where individuals with certain inherited characteristics are more likely than other individuals to obtain mates.

Strong Sexual Selection

A form of natural selection where certain traits increase an individual's chances of mating and reproducing more than others.

Weak Sexual Selection

A scenario in which the selection of mates based on certain traits is less pronounced, leading to minimal differences in reproductive success among individuals.

Cryptic Female Choice

Cryptic female choice refers to a form of sexual selection that arises after mating, when females store and separate sperm from different males and thus bias which sperm they use to fertilize their eggs.