Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 7, Problem 14STP

(a)

To determine

To Find :

The rate of change of the shipping charge per pound.

(a)

Expert Solution
Check Mark

Answer to Problem 14STP

The rate of change is 59 cents per pound of weight.

Explanation of Solution

Given :

The amount that a retailer charges for shipping an electronics purchase is determined by the weight of the package.The charges for several different weights are given in the table.

  Algebra 2, Chapter 7, Problem 14STP , additional homework tip 1

Concept Used :

Slope of a line passing through points (x1,y1)&(x2,y2) is given by m=y2−y1x2−x1

Calculation:

  To find the rate of change of the shipping chare per pound,we need to find the slope:slope=change in the shipping chargechange in the weight =6.76−5.583−1=0.59=7.35−6.764−3So,the rate of change is 0.59 $ per pound of weight orthe rate of change is 59 cents per pound of weight.Since 1$=100 cents 

(b)

To determine

To Find :

Write an equation that could be used to find the shipping charge y for a package that weighs x pounds .

(b)

Expert Solution
Check Mark

Answer to Problem 14STP

  y=0.59x+4.99wherex= weight in poundy= shipping charge in $

Explanation of Solution

Given :

The amount that a retailer charges for shipping an electronics purchase is determined by the weight of the package.The charges for several different weights are given in the table.

  Algebra 2, Chapter 7, Problem 14STP , additional homework tip 2

From part (a) ,

The rate of change is 59 cents per pound of weight.

Concept Used :

Slope of a line passing through points (x1,y1)&(x2,y2) is given by m=y2−y1x2−x1

  • Slope intercept form a linear equation:

  y=mx+bwherem=slopeb=y−intercept

Calculation:

  Letx=weighty=shipping cost(x1,y1)=(1,5.58)(x2,y2)=(3,6.76)From part (a) , slope = m = y2−y1x2−x1=0.59Slope Intercept form of a linear equation:y=mx+bb=y−interceptSubstitute (x,y)=(1,5.58), m= 0.59 and find b:5.58=0.59(1)+bb=5.58−0.59=4.99So,the equation is given by:y=0.59x+4.99wherex= weight in poundy= shipping charge in $

(c)

To determine

To Find :

The shipping charge for a package that weighs 19 pounds.

(c)

Expert Solution
Check Mark

Answer to Problem 14STP

  The shipping cost for a package that weighs 19 pounds is $16.20.

Explanation of Solution

Given :

From part (b), we have the equation :

  y=0.59x+4.99wherex= weight in poundy= shipping charge in $

Calculation:

  Given:y=0.59x+4.99wherex= weight in pound=19 poundsy= shipping charge in $Substitute the value x = 19 in the equation and solve for y:y=0.59x+4.99=0.59(19)+4.99y=11.21+4.99=16.2So, the shipping cost for a package that weighs 19 pounds is $16.20.

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Chapter 7, Problem 13STP
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Chapter 7, Problem 15STP

Chapter 7 Solutions

Algebra 2

Ch. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 1BCYPCh. 7.1 - Prob. 2ACYPCh. 7.1 - Prob. 2BCYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 4CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYU
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Prob. 30PPSCh. 7.6 - Prob. 31PPSCh. 7.6 - Prob. 32PPSCh. 7.6 - Prob. 33PPSCh. 7.6 - Prob. 34PPSCh. 7.6 - Prob. 35PPSCh. 7.6 - Prob. 36PPSCh. 7.6 - Prob. 37PPSCh. 7.6 - Prob. 38PPSCh. 7.6 - Prob. 39PPSCh. 7.6 - Prob. 40PPSCh. 7.6 - Prob. 41PPSCh. 7.6 - Prob. 42PPSCh. 7.6 - Prob. 43PPSCh. 7.6 - Prob. 44PPSCh. 7.6 - Prob. 45PPSCh. 7.6 - Prob. 46PPSCh. 7.6 - Prob. 47PPSCh. 7.6 - Prob. 48PPSCh. 7.6 - Prob. 49PPSCh. 7.6 - Prob. 50PPSCh. 7.6 - Prob. 51PPSCh. 7.6 - Prob. 52PPSCh. 7.6 - Prob. 53PPSCh. 7.6 - Prob. 54PPSCh. 7.6 - Prob. 55PPSCh. 7.6 - Prob. 56PPSCh. 7.6 - Prob. 57PPSCh. 7.6 - Prob. 58PPSCh. 7.6 - Prob. 59PPSCh. 7.6 - Prob. 60PPSCh. 7.6 - Prob. 61PPSCh. 7.6 - Prob. 62PPSCh. 7.6 - Prob. 63PPSCh. 7.6 - Prob. 64PPSCh. 7.6 - Prob. 65PPSCh. 7.6 - Prob. 66HPCh. 7.6 - Prob. 67HPCh. 7.6 - Prob. 68HPCh. 7.6 - Prob. 69HPCh. 7.6 - Prob. 70HPCh. 7.6 - Prob. 71HPCh. 7.6 - Prob. 72HPCh. 7.6 - Prob. 73STPCh. 7.6 - Prob. 74STPCh. 7.6 - Prob. 75STPCh. 7.6 - Prob. 76STPCh. 7.6 - Prob. 77STPCh. 7.6 - Prob. 78STPCh. 7.6 - Prob. 79STPCh. 7.6 - Prob. 80STPCh. 7.6 - Prob. 81STPCh. 7.6 - Prob. 82STPCh. 7.6 - Prob. 83STPCh. 7.6 - Prob. 84STPCh. 7.6 - Prob. 85STPCh. 7.6 - Prob. 86STPCh. 7.6 - Prob. 87STPCh. 7.6 - Prob. 88STPCh. 7.6 - Prob. 89STPCh. 7.6 - Prob. 90STPCh. 7.6 - Prob. 91STPCh. 7.6 - Prob. 92SCh. 7.6 - Prob. 93SCh. 7.6 - Prob. 94SCh. 7.6 - Prob. 95SCh. 7.6 - Prob. 96SCh. 7.6 - Prob. 97SCh. 7.7 - Prob. 1ACYPCh. 7.7 - Prob. 1BCYPCh. 7.7 - Prob. 2ACYPCh. 7.7 - Prob. 2BCYPCh. 7.7 - Prob. 3CYPCh. 7.7 - Prob. 4ACYPCh. 7.7 - Prob. 4BCYPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9CYUCh. 7.7 - Prob. 10CYUCh. 7.7 - Prob. 11CYUCh. 7.7 - Prob. 12CYUCh. 7.7 - Prob. 13CYUCh. 7.7 - Prob. 14CYUCh. 7.7 - Prob. 15CYUCh. 7.7 - Prob. 16CYUCh. 7.7 - Prob. 17CYUCh. 7.7 - Prob. 18CYUCh. 7.7 - Prob. 19CYUCh. 7.7 - Prob. 20CYUCh. 7.7 - Prob. 21CYUCh. 7.7 - Prob. 22CYUCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30PPSCh. 7.7 - Prob. 31PPSCh. 7.7 - Prob. 32PPSCh. 7.7 - Prob. 33PPSCh. 7.7 - Prob. 34PPSCh. 7.7 - Prob. 35PPSCh. 7.7 - Prob. 36PPSCh. 7.7 - Prob. 37PPSCh. 7.7 - Prob. 38PPSCh. 7.7 - Prob. 39PPSCh. 7.7 - Prob. 40PPSCh. 7.7 - Prob. 41PPSCh. 7.7 - Prob. 42PPSCh. 7.7 - Prob. 43PPSCh. 7.7 - Prob. 44PPSCh. 7.7 - Prob. 45PPSCh. 7.7 - Prob. 46PPSCh. 7.7 - Prob. 47PPSCh. 7.7 - Prob. 48PPSCh. 7.7 - Prob. 49PPSCh. 7.7 - Prob. 50PPSCh. 7.7 - Prob. 51PPSCh. 7.7 - Prob. 52PPSCh. 7.7 - Prob. 53PPSCh. 7.7 - Prob. 54PPSCh. 7.7 - Prob. 55PPSCh. 7.7 - Prob. 56PPSCh. 7.7 - Prob. 57PPSCh. 7.7 - Prob. 58PPSCh. 7.7 - Prob. 59PPSCh. 7.7 - Prob. 60PPSCh. 7.7 - Prob. 61PPSCh. 7.7 - Prob. 62PPSCh. 7.7 - Prob. 63PPSCh. 7.7 - Prob. 64PPSCh. 7.7 - Prob. 65PPSCh. 7.7 - Prob. 66PPSCh. 7.7 - Prob. 67HPCh. 7.7 - Prob. 68HPCh. 7.7 - Prob. 69HPCh. 7.7 - Prob. 70HPCh. 7.7 - Prob. 71HPCh. 7.7 - Prob. 72HPCh. 7.7 - Prob. 73HPCh. 7.7 - Prob. 74HPCh. 7.7 - Prob. 75HPCh. 7.7 - Prob. 76HPCh. 7.7 - Prob. 77HPCh. 7.7 - Prob. 78HPCh. 7.7 - Prob. 79HPCh. 7.7 - Prob. 80STPCh. 7.7 - Prob. 81STPCh. 7.7 - Prob. 82STPCh. 7.7 - Prob. 83STPCh. 7.7 - Prob. 84STPCh. 7.7 - Prob. 85STPCh. 7.7 - Prob. 86STPCh. 7.7 - Prob. 87STPCh. 7.7 - Prob. 88STPCh. 7.7 - Prob. 89STPCh. 7.7 - Prob. 90STPCh. 7.7 - Prob. 91SCh. 7.7 - Prob. 92SCh. 7.7 - Prob. 93SCh. 7.7 - Prob. 94SCh. 7.7 - Prob. 95SCh. 7.7 - Prob. 96SCh. 7.7 - Prob. 97SCh. 7.7 - Prob. 98SCh. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Prob. 4ECh. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - Prob. 8ECh. 7.7 - Prob. 9ECh. 7.7 - Prob. 10ECh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 29MCQCh. 7 - Prob. 30MCQCh. 7 - Prob. 31MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 38PTCh. 7 - Prob. 39PTCh. 7 - Prob. 40PTCh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 12STPCh. 7 - Prob. 13STPCh. 7 - Prob. 14STPCh. 7 - Prob. 15STP

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