Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Question
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Chapter 2.6, Problem 32PPS

a.

To determine

Identify the type of function that models this situation.

a.

Expert Solution
Check Mark

Answer to Problem 32PPS

Piecewise-defined function

Explanation of Solution

Given information:

The charge for renting a bicycle from a rental shop for different amounts of time is shown at the right.

  Time12hour1hour2hourDailyPrice$6$10$16$24

Identify the type of function that models this situation.

Calculation:

A function that is written two or more expressions is called a piecewise function.

Hence,the function is piecewise-defined function.

b.

To determine

Write and graph a function for the situation.

b.

Expert Solution
Check Mark

Answer to Problem 32PPS

  Algebra 2, Chapter 2.6, Problem 32PPS , additional homework tip 1

Explanation of Solution

Given information:

The charge for renting a bicycle from a rental shop for different amounts of time is shown at the right.

  Time12hour1hour2hourDailyPrice$6$10$16$24

Write and graph a function for the situation.

Calculation:

The defined function is,

  p(t)={12t6t+424

  if,t=12if,1≤t≤2if,t>2

Where t is time and p(t) price,

Step1. Graph p(t)={12t,if,t=12

Because 12 satisfies the inequality, a dot at (12,6)

Step 2. Graph

  p(t)={6t+4,if,1≤t≤2p(1)=6(1)+4=6+4=10

And

  p(2)=6(2)+4=12+4=16

Because 1 and 2 satisfies the inequality, begin with a dot at (1,10) and (2,16) .

Step 3. Graph p(t)={24,if,t>2

Because 2 does not satisfy the inequality, begin with a circle at (2,24) .

Use maple to graph the function.

  Algebra 2, Chapter 2.6, Problem 32PPS , additional homework tip 2

Hence, the is as shown.

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Chapter 2.6, Problem 31PPS
Next
Chapter 2.6, Problem 33PPS

Chapter 2 Solutions

Algebra 2

Ch. 2.1 - Prob. 1ACYPCh. 2.1 - Prob. 1BCYPCh. 2.1 - Prob. 2CYPCh. 2.1 - Prob. 3CYPCh. 2.1 - Prob. 4ACYPCh. 2.1 - Prob. 4BCYPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYU
Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41HPCh. 2.1 - Prob. 42HPCh. 2.1 - Prob. 43HPCh. 2.1 - Prob. 44HPCh. 2.1 - Prob. 45STPCh. 2.1 - Prob. 46STPCh. 2.1 - Prob. 47STPCh. 2.1 - Prob. 48STPCh. 2.1 - Prob. 49STPCh. 2.1 - Prob. 50STPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - 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Prob. 76SCh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.3 - Prob. 1CYPCh. 2.3 - Prob. 2CYPCh. 2.3 - Prob. 3ACYPCh. 2.3 - Prob. 3BCYPCh. 2.3 - Prob. 4ACYPCh. 2.3 - Prob. 4BCYPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9PPSCh. 2.3 - Prob. 10PPSCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36HPCh. 2.3 - Prob. 37HPCh. 2.3 - 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Prob. 5PPSCh. 2.5 - Prob. 6PPSCh. 2.5 - Prob. 7PPSCh. 2.5 - Prob. 8PPSCh. 2.5 - Prob. 9PPSCh. 2.5 - Prob. 10PPSCh. 2.5 - Prob. 11PPSCh. 2.5 - Prob. 12HPCh. 2.5 - Prob. 13HPCh. 2.5 - Prob. 14HPCh. 2.5 - Prob. 15HPCh. 2.5 - Prob. 16HPCh. 2.5 - Prob. 17HPCh. 2.5 - Prob. 18HPCh. 2.5 - Prob. 19HPCh. 2.5 - Prob. 20HPCh. 2.5 - Prob. 21STPCh. 2.5 - Prob. 22STPCh. 2.5 - Prob. 23STPCh. 2.5 - Prob. 24STPCh. 2.5 - Prob. 25STPCh. 2.5 - Prob. 26STPCh. 2.5 - Prob. 27STPCh. 2.5 - Prob. 28STPCh. 2.5 - Prob. 29STPCh. 2.5 - Prob. 30SCh. 2.5 - Prob. 31SCh. 2.5 - Prob. 32SCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.6 - Prob. 1CYPCh. 2.6 - Prob. 2ACYPCh. 2.6 - Prob. 2BCYPCh. 2.6 - Prob. 3CYPCh. 2.6 - Prob. 4ACYPCh. 2.6 - Prob. 4BCYPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9CYUCh. 2.6 - Prob. 10CYUCh. 2.6 - Prob. 11CYUCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40HPCh. 2.6 - Prob. 41HPCh. 2.6 - Prob. 42HPCh. 2.6 - Prob. 43HPCh. 2.6 - Prob. 44HPCh. 2.6 - Prob. 45HPCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49STPCh. 2.6 - Prob. 50STPCh. 2.6 - Prob. 51STPCh. 2.6 - Prob. 52STPCh. 2.6 - Prob. 53STPCh. 2.6 - Prob. 54STPCh. 2.6 - Prob. 55STPCh. 2.6 - Prob. 56STPCh. 2.6 - Prob. 57SCh. 2.6 - Prob. 58SCh. 2.6 - Prob. 59SCh. 2.7 - Prob. 1ACYPCh. 2.7 - Prob. 1BCYPCh. 2.7 - Prob. 2ACYPCh. 2.7 - Prob. 2BCYPCh. 2.7 - Prob. 3ACYPCh. 2.7 - Prob. 3BCYPCh. 2.7 - Prob. 4ACYPCh. 2.7 - Prob. 4BCYPCh. 2.7 - Prob. 5CYPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8CYUCh. 2.7 - Prob. 9CYUCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35PPSCh. 2.7 - Prob. 36PPSCh. 2.7 - Prob. 37PPSCh. 2.7 - Prob. 38PPSCh. 2.7 - Prob. 39PPSCh. 2.7 - Prob. 40PPSCh. 2.7 - Prob. 41PPSCh. 2.7 - Prob. 42PPSCh. 2.7 - 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Prob. 22PPSCh. 2.8 - Prob. 23PPSCh. 2.8 - Prob. 24PPSCh. 2.8 - Prob. 25PPSCh. 2.8 - Prob. 26PPSCh. 2.8 - Prob. 27PPSCh. 2.8 - Prob. 28PPSCh. 2.8 - Prob. 29PPSCh. 2.8 - Prob. 30PPSCh. 2.8 - Prob. 31PPSCh. 2.8 - Prob. 32PPSCh. 2.8 - Prob. 33HPCh. 2.8 - Prob. 34HPCh. 2.8 - Prob. 35HPCh. 2.8 - Prob. 36HPCh. 2.8 - Prob. 37HPCh. 2.8 - Prob. 38HPCh. 2.8 - Prob. 39HPCh. 2.8 - Prob. 40HPCh. 2.8 - Prob. 41HPCh. 2.8 - Prob. 42STPCh. 2.8 - Prob. 43STPCh. 2.8 - Prob. 44STPCh. 2.8 - Prob. 45STPCh. 2.8 - Prob. 46STPCh. 2.8 - Prob. 47STPCh. 2.8 - Prob. 48STPCh. 2.8 - Prob. 49STPCh. 2.8 - Prob. 50STPCh. 2.8 - Prob. 51STPCh. 2.8 - Prob. 52STPCh. 2.8 - Prob. 53STPCh. 2.8 - Prob. 54STPCh. 2.8 - Prob. 55SCh. 2.8 - Prob. 56SCh. 2.8 - Prob. 57SCh. 2 - Prob. 1QCCh. 2 - Prob. 2QCCh. 2 - Prob. 3QCCh. 2 - Prob. 4QCCh. 2 - Prob. 5QCCh. 2 - Prob. 6QCCh. 2 - Prob. 7QCCh. 2 - Prob. 8QCCh. 2 - Prob. 9QCCh. 2 - Prob. 10QCCh. 2 - Prob. 11QCCh. 2 - Prob. 12QCCh. 2 - Prob. 13QCCh. 2 - Prob. 14QCCh. 2 - Prob. 15QCCh. 2 - Prob. 16QCCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 1STPCh. 2 - Prob. 2STPCh. 2 - Prob. 3STPCh. 2 - Prob. 4STPCh. 2 - Prob. 5STPCh. 2 - Prob. 6STPCh. 2 - Prob. 7STPCh. 2 - Prob. 8STPCh. 2 - Prob. 9STPCh. 2 - Prob. 10STPCh. 2 - Prob. 11STPCh. 2 - Prob. 12STP

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