High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 4.5, Problem 22PPE
To determine

To Write: A function that models a real world situation.

Expert Solution & Answer
Check Mark

Answer to Problem 22PPE

Clara prepared 5 cookies already and she can prepare 2 cookies for each pack of flour. Write a function for the number of cookies she make.

  y=5+2x

Input: Independent variable, number of packs of flour ‘x’

Output: Dependent variable, number of cookies prepared ‘y’

Explanation of Solution

Given information: Function that models a real world situation.

Evaluate: Clara prepared 5 cookies already and she can prepare 2 cookies for each pack of flour. Write a function for the number of cookies she make.

Let ‘x’ represents the number of packs of flour and ’y’ represents the number of cookies.

2 cookies for each pack. So 2x cookies for ‘x’ packs. 5 is the initial number of cookies.

Function becomes

  y=5+2x

The number of cookies prepared depends on the number of packs of flour.

So , Input value is number of packs of flour and output value is number of cookies

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Chapter 4.5, Problem 21PPE
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Chapter 4.5, Problem 23PPE

Chapter 4 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 4.1 - Prob. 1PCh. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.1 - Prob. 1LCCh. 4.1 - Prob. 2LCCh. 4.1 - Prob. 3LCCh. 4.1 - Prob. 4LCCh. 4.1 - Prob. 5PPECh. 4.1 - Prob. 6PPECh. 4.1 - Prob. 7PPE
Ch. 4.1 - Prob. 8PPECh. 4.1 - Prob. 9PPECh. 4.1 - Prob. 10PPECh. 4.1 - Prob. 11PPECh. 4.1 - Prob. 12PPECh. 4.1 - Prob. 13PPECh. 4.1 - Prob. 14PPECh. 4.1 - Prob. 15PPECh. 4.1 - Prob. 16PPECh. 4.1 - Prob. 17PPECh. 4.1 - Prob. 18PPECh. 4.1 - Prob. 19PPECh. 4.1 - Prob. 20PPECh. 4.1 - Prob. 21STPCh. 4.1 - Prob. 22STPCh. 4.1 - Prob. 23STPCh. 4.1 - Prob. 24MRCh. 4.1 - Prob. 25MRCh. 4.1 - Prob. 26MRCh. 4.1 - Prob. 27MRCh. 4.1 - Prob. 28MRCh. 4.1 - Prob. 29MRCh. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 1LCCh. 4.2 - Prob. 2LCCh. 4.2 - Prob. 3LCCh. 4.2 - Prob. 4LCCh. 4.2 - Prob. 5LCCh. 4.2 - Prob. 6PPECh. 4.2 - Prob. 7PPECh. 4.2 - Prob. 8PPECh. 4.2 - Prob. 9PPECh. 4.2 - Prob. 10PPECh. 4.2 - Prob. 11PPECh. 4.2 - Prob. 12PPECh. 4.2 - Prob. 13PPECh. 4.2 - Prob. 14PPECh. 4.2 - Prob. 15PPECh. 4.2 - Prob. 16PPECh. 4.2 - Prob. 17PPECh. 4.2 - Prob. 18PPECh. 4.2 - Prob. 19PPECh. 4.2 - Prob. 20PPECh. 4.2 - Prob. 1MPCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 1LCCh. 4.3 - Prob. 2LCCh. 4.3 - Prob. 3LCCh. 4.3 - Prob. 4LCCh. 4.3 - Prob. 5LCCh. 4.3 - Prob. 6PPECh. 4.3 - Prob. 7PPECh. 4.3 - Prob. 8PPECh. 4.3 - Prob. 9PPECh. 4.3 - Prob. 10PPECh. 4.3 - Prob. 11PPECh. 4.3 - Prob. 12PPECh. 4.3 - Prob. 13PPECh. 4.3 - Prob. 14PPECh. 4.3 - Prob. 15PPECh. 4.3 - Prob. 16PPECh. 4.3 - Prob. 17PPECh. 4.3 - Prob. 18PPECh. 4.3 - Prob. 19PPECh. 4.3 - Prob. 20PPECh. 4.3 - Prob. 21PPECh. 4.3 - Prob. 22PPECh. 4.3 - Prob. 23STPCh. 4.3 - Prob. 24STPCh. 4.3 - Prob. 25STPCh. 4.3 - Prob. 26MRCh. 4.3 - Prob. 27MRCh. 4.3 - Prob. 28MRCh. 4.3 - Prob. 29MRCh. 4.3 - Prob. 1MCQCh. 4.3 - Prob. 2MCQCh. 4.3 - Prob. 3MCQCh. 4.3 - Prob. 4MCQCh. 4.3 - Prob. 5MCQCh. 4.3 - Prob. 6MCQCh. 4.3 - Prob. 7MCQCh. 4.3 - Prob. 8MCQCh. 4.3 - Prob. 9MCQCh. 4.3 - Prob. 10MCQCh. 4.3 - Prob. 11MCQCh. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 1LCCh. 4.4 - Prob. 2LCCh. 4.4 - Prob. 3LCCh. 4.4 - Prob. 4LCCh. 4.4 - Prob. 5LCCh. 4.4 - Prob. 6LCCh. 4.4 - Prob. 7LCCh. 4.4 - Prob. 8LCCh. 4.4 - Prob. 9PPECh. 4.4 - Prob. 10PPECh. 4.4 - Prob. 11PPECh. 4.4 - Prob. 12PPECh. 4.4 - Prob. 13PPECh. 4.4 - Prob. 14PPECh. 4.4 - Prob. 15PPECh. 4.4 - Prob. 16PPECh. 4.4 - Prob. 17PPECh. 4.4 - Prob. 18PPECh. 4.4 - Prob. 19PPECh. 4.4 - Prob. 20PPECh. 4.4 - Prob. 21PPECh. 4.4 - Prob. 22PPECh. 4.4 - Prob. 23PPECh. 4.4 - Prob. 24PPECh. 4.4 - Prob. 25PPECh. 4.4 - Prob. 26PPECh. 4.4 - Prob. 27PPECh. 4.4 - Prob. 28PPECh. 4.4 - Prob. 29PPECh. 4.4 - Prob. 30PPECh. 4.4 - Prob. 31PPECh. 4.4 - Prob. 32PPECh. 4.4 - Prob. 33PPECh. 4.4 - Prob. 34PPECh. 4.4 - Prob. 35PPECh. 4.4 - Prob. 36PPECh. 4.4 - Prob. 37PPECh. 4.4 - Prob. 38PPECh. 4.4 - Prob. 39PPECh. 4.4 - Prob. 40PPECh. 4.4 - Prob. 41PPECh. 4.4 - Prob. 1MPCh. 4.4 - Prob. 1CBCh. 4.4 - Prob. 2CBCh. 4.4 - Prob. 3CBCh. 4.4 - Prob. 4CBCh. 4.4 - Prob. 5CBCh. 4.4 - Prob. 6CBCh. 4.4 - Prob. 7CBCh. 4.4 - Prob. 8CBCh. 4.4 - Prob. 9CBCh. 4.4 - Prob. 10CBCh. 4.4 - Prob. 11CBCh. 4.4 - Prob. 12CBCh. 4.4 - Prob. 13CBCh. 4.4 - Prob. 14CBCh. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 1LCCh. 4.5 - Prob. 2LCCh. 4.5 - Prob. 3LCCh. 4.5 - Prob. 4LCCh. 4.5 - Prob. 5LCCh. 4.5 - Prob. 6LCCh. 4.5 - Prob. 7LCCh. 4.5 - Prob. 8PPECh. 4.5 - Prob. 9PPECh. 4.5 - Prob. 10PPECh. 4.5 - Prob. 11PPECh. 4.5 - Prob. 12PPECh. 4.5 - Prob. 13PPECh. 4.5 - Prob. 14PPECh. 4.5 - Prob. 15PPECh. 4.5 - Prob. 16PPECh. 4.5 - Prob. 17PPECh. 4.5 - Prob. 18PPECh. 4.5 - Prob. 19PPECh. 4.5 - Prob. 20PPECh. 4.5 - Prob. 21PPECh. 4.5 - Prob. 22PPECh. 4.5 - Prob. 23PPECh. 4.5 - Prob. 24PPECh. 4.5 - Prob. 25PPECh. 4.5 - Prob. 26PPECh. 4.5 - Prob. 27PPECh. 4.5 - Prob. 28PPECh. 4.5 - Prob. 29PPECh. 4.5 - Prob. 30PPECh. 4.5 - Prob. 31PPECh. 4.5 - Prob. 32PPECh. 4.5 - Prob. 33STPCh. 4.5 - Prob. 34STPCh. 4.5 - Prob. 35STPCh. 4.5 - Prob. 36STPCh. 4.5 - Prob. 37MRCh. 4.5 - Prob. 38MRCh. 4.5 - Prob. 39MRCh. 4.5 - Prob. 40MRCh. 4.5 - Prob. 41MRCh. 4.5 - Prob. 42MRCh. 4.5 - Prob. 43MRCh. 4.5 - Prob. 44MRCh. 4.5 - Prob. 45MRCh. 4.5 - Prob. 46MRCh. 4.5 - Prob. 47MRCh. 4.5 - Prob. 48MRCh. 4.5 - Prob. 49MRCh. 4.5 - Prob. 50MRCh. 4.5 - Prob. 51MRCh. 4.5 - Prob. 52MRCh. 4.5 - Prob. 53MRCh. 4.5 - Prob. 54MRCh. 4.5 - Prob. 55MRCh. 4.5 - Prob. 56MRCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.6 - Prob. 5PCh. 4.6 - Prob. 1LCCh. 4.6 - Prob. 2LCCh. 4.6 - Prob. 3LCCh. 4.6 - Prob. 4LCCh. 4.6 - Prob. 5LCCh. 4.6 - Prob. 6LCCh. 4.6 - Prob. 7LCCh. 4.6 - Prob. 8PPECh. 4.6 - Prob. 9PPECh. 4.6 - Prob. 10PPECh. 4.6 - Prob. 11PPECh. 4.6 - Prob. 12PPECh. 4.6 - Prob. 13PPECh. 4.6 - Prob. 14PPECh. 4.6 - Prob. 15PPECh. 4.6 - Prob. 16PPECh. 4.6 - Prob. 17PPECh. 4.6 - Prob. 18PPECh. 4.6 - Prob. 19PPECh. 4.6 - Prob. 20PPECh. 4.6 - Prob. 21PPECh. 4.6 - Prob. 22PPECh. 4.6 - Prob. 23PPECh. 4.6 - Prob. 24PPECh. 4.6 - Prob. 25PPECh. 4.6 - Prob. 26PPECh. 4.6 - Prob. 27PPECh. 4.6 - Prob. 28PPECh. 4.6 - Prob. 29PPECh. 4.6 - Prob. 30PPECh. 4.6 - Prob. 31PPECh. 4.6 - Prob. 32PPECh. 4.6 - Prob. 33PPECh. 4.6 - Prob. 34PPECh. 4.6 - Prob. 35PPECh. 4.6 - Prob. 36PPECh. 4.6 - Prob. 37PPECh. 4.6 - Prob. 38PPECh. 4.6 - Prob. 39PPECh. 4.6 - Prob. 40PPECh. 4.6 - Prob. 41STPCh. 4.6 - Prob. 42STPCh. 4.6 - Prob. 43STPCh. 4.6 - Prob. 44STPCh. 4.6 - Prob. 45MRCh. 4.6 - Prob. 46MRCh. 4.6 - Prob. 47MRCh. 4.6 - Prob. 48MRCh. 4.6 - Prob. 49MRCh. 4.6 - Prob. 50MRCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 1LCCh. 4.7 - Prob. 2LCCh. 4.7 - Prob. 3LCCh. 4.7 - Prob. 4LCCh. 4.7 - Prob. 5LCCh. 4.7 - Prob. 6LCCh. 4.7 - Prob. 7LCCh. 4.7 - Prob. 8LCCh. 4.7 - Prob. 9PPECh. 4.7 - Prob. 10PPECh. 4.7 - Prob. 11PPECh. 4.7 - Prob. 12PPECh. 4.7 - Prob. 13PPECh. 4.7 - Prob. 14PPECh. 4.7 - Prob. 15PPECh. 4.7 - Prob. 16PPECh. 4.7 - Prob. 17PPECh. 4.7 - Prob. 18PPECh. 4.7 - Prob. 19PPECh. 4.7 - Prob. 20PPECh. 4.7 - Prob. 21PPECh. 4.7 - Prob. 22PPECh. 4.7 - Prob. 23PPECh. 4.7 - Prob. 24PPECh. 4.7 - Prob. 25PPECh. 4.7 - Prob. 26PPECh. 4.7 - Prob. 27PPECh. 4.7 - Prob. 28PPECh. 4.7 - Prob. 29PPECh. 4.7 - Prob. 30PPECh. 4.7 - Prob. 31PPECh. 4.7 - Prob. 32PPECh. 4.7 - Prob. 33PPECh. 4.7 - Prob. 34PPECh. 4.7 - Prob. 35PPECh. 4.7 - Prob. 36PPECh. 4.7 - Prob. 37PPECh. 4.7 - Prob. 38PPECh. 4.7 - Prob. 39PPECh. 4.7 - Prob. 40PPECh. 4.7 - Prob. 41PPECh. 4.7 - Prob. 42PPECh. 4.7 - Prob. 43PPECh. 4.7 - Prob. 44PPECh. 4.7 - Prob. 45PPECh. 4.7 - Prob. 46PPECh. 4.7 - Prob. 47PPECh. 4.7 - Prob. 48PPECh. 4.7 - Prob. 49PPECh. 4.7 - Prob. 50PPECh. 4.7 - Prob. 51PPECh. 4.7 - Prob. 52PPECh. 4.7 - Prob. 53PPECh. 4.7 - Prob. 54PPECh. 4.7 - Prob. 55PPECh. 4.7 - Prob. 56PPECh. 4.7 - Prob. 57PPECh. 4.7 - Prob. 58PPECh. 4.7 - Prob. 59PPECh. 4.7 - Prob. 60PPECh. 4.7 - Prob. 61PPECh. 4.7 - Prob. 62PPECh. 4.7 - Prob. 63PPECh. 4.7 - Prob. 64PPECh. 4.7 - Prob. 65PPECh. 4.7 - Prob. 66PPECh. 4.7 - Prob. 67PPECh. 4.7 - Prob. 68PPECh. 4.7 - Prob. 69PPECh. 4.7 - Prob. 70PPECh. 4.7 - Prob. 71PPECh. 4.7 - Prob. 72PPECh. 4.7 - Prob. 73PPECh. 4.7 - Prob. 74PPECh. 4.7 - Prob. 75PPECh. 4.7 - Prob. 1MPCh. 4 - Prob. 1GRCh. 4 - Prob. 2GRCh. 4 - Prob. 3GRCh. 4 - Prob. 4GRCh. 4 - Prob. 5GRCh. 4 - Prob. 6GRCh. 4 - Prob. 7GRCh. 4 - Prob. 8GRCh. 4 - Prob. 9GRCh. 4 - Prob. 10GRCh. 4 - Prob. 11GRCh. 4 - Prob. 12GRCh. 4 - Prob. 13GRCh. 4 - Prob. 14GRCh. 4 - Prob. 15GRCh. 4 - Prob. 16GRCh. 4 - Prob. 17GRCh. 4 - Prob. 18GRCh. 4 - Prob. 19GRCh. 4 - Prob. 20GRCh. 4 - Prob. 21GRCh. 4 - Prob. 22GRCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 1CCSRCh. 4 - Prob. 2CCSRCh. 4 - Prob. 3CCSRCh. 4 - Prob. 4CCSRCh. 4 - Prob. 5CCSRCh. 4 - Prob. 6CCSRCh. 4 - Prob. 7CCSRCh. 4 - Prob. 8CCSRCh. 4 - Prob. 9CCSRCh. 4 - Prob. 10CCSRCh. 4 - Prob. 11CCSRCh. 4 - Prob. 12CCSRCh. 4 - Prob. 13CCSRCh. 4 - Prob. 14CCSRCh. 4 - Prob. 15CCSRCh. 4 - Prob. 16CCSRCh. 4 - Prob. 17CCSRCh. 4 - Prob. 18CCSRCh. 4 - Prob. 19CCSRCh. 4 - Prob. 20CCSRCh. 4 - Prob. 21CCSRCh. 4 - Prob. 22CCSRCh. 4 - Prob. 23CCSRCh. 4 - Prob. 24CCSRCh. 4 - Prob. 25CCSRCh. 4 - Prob. 26CCSRCh. 4 - Prob. 27CCSR

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