Solve Using a System of Three Linear Equations

question 98

Multiple Choice

Solve using a system of three linear equations.
-Ron attends a cocktail party (with his graphing calculator in his pocket) . He wants to limit his food intake to 116 g protein, 108 g fat, and 141 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)4 mushrooms, 3 meatballs, 7 eggs
• B)7 mushrooms, 4 meatballs, 3 eggs
• C)3 mushrooms, 7 meatballs, 4 eggs
• D)8 mushrooms, 5 meatballs, 4 eggs

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Definitions:

Nominal Gross Domestic Product (GDP)

A rephrased term for Nominal GDP, referring to the market value of all final goods and services produced within a country in a year, unadjusted for inflation.

GDP Price Index

An economic metric that accounts for inflation by converting output measured at current prices into constant-dollar GDP.

Fixed-Weight Price Index

A method of calculating inflation or deflation that uses predetermined weights for different categories of goods and services, regardless of their current market importance.

Chain-Weighted System

An inflation measure that adjusts the weights from year to year in calculating a price index, thereby reducing the bias caused by a fixed-price weighting system.