Question

Think About a Plan Use the table at the right that shows nutrition information for 1 serving of each type of food. For which item(s) do 6 servings have less than $\cdot$ What matrix represents the nutrition information for 1 serving? $\cdot$ How can you find the nutrition information for 6 servings?

Name: Problem 29, Chapter 12: Algebra 1 Common Core
Uploaded: 2020-04-11T14:37:21-08:00
Duration: 1 min 39 s
Channel: Zach Steedman
Description: Think About a Plan Use the table at the right that shows nutrition information for 1 serving of each type of food. For which item(s) do 6 servings have less than ·What matrix represents the nutrition information for 1 serving? ·How can you find the nutrition information for 6 servings?

   Think About a Plan Use the table at the right that shows nutrition information for 1 serving of each type of food. For which item(s) do 6 servings have less than $\cdot$ What matrix represents the nutrition information for 1 serving? $\cdot$ How can you find the nutrition information for 6 servings?

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 12, Problem 29

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Solved by Expert Zach Steedman

04/11/2020

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The matrix represents the nutrition information for 1 serving of each type of food. The first column represents the calories, the second column represents the protein, and the third column represents the fat. Show more…

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Think About a Plan Use the table at the right that shows nutrition information for 1 serving of each type of food. For which item(s) do 6 servings have less than $\cdot$ What matrix represents the nutrition information for 1 serving? $\cdot$ How can you find the nutrition information for 6 servings?

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Key Concepts

Matrix Representation

A matrix is an organized rectangular array of numbers arranged in rows and columns. In this context, the nutrition information for one serving of food items can be encapsulated in a matrix, where each row or column represents a different food item or nutritional component like calories, fat, etc. This concise format allows us to efficiently store and manipulate related data sets.

Scalar Multiplication

Scalar multiplication involves multiplying every entry of a matrix by a constant value (the scalar). This is particularly useful when the data in the matrix is proportional and you want to scale the values uniformly. For example, to determine the nutrition information for six servings, each value in the one serving matrix is multiplied by 6, thereby scaling the nutritional content accordingly.

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