BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.1, Problem 18E

(a)

To determine

To calculate: To identify independent and dependent variables

(a)

Expert Solution

Answer to Problem 18E

Independent variable is x and dependent variable is y

Explanation of Solution

Given: Function y=3.3x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

Formula Used:

A variable is an one that we are trying to measure and are of two types:

Independent Variable: That stands alone and isn’t changed by the other variables
Dependent Variable: That depends on the other variables

Calculation:

Given the function that represents the cost y (in dollars) of a taxi ride of x miles

y=3.3x+2.8

Here, value of variable x is not changed by variable y , so it is an independent variable

Whilevalue of variable y will change the as value of variable x changes, so it is a dependent variable

Conclusion:

Hence, Independent variable is x and dependent variable is y

(b)

To determine

To calculate: To find the domain andrange

(b)

Expert Solution

Answer to Problem 18E

Domain is D={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} and

Range is R={2.8,6.1,9.4,12.7,16.0,19.3,22.6,25.9,29.2,32.5,35.839.1,42.4,45.7,49.0,52.3,55.6,58.9,62.2,65.5}

Explanation of Solution

Given: Function y=3.3x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

Formula Used:

Domain is the set of all first elements of ordered pair (x-coordinate)

Range is the set of all second elements of ordered pair (y-coordinate)

Calculation:

Given the function that represents the cost y (in dollars) of a taxi ride of x miles

y=3.3x+2.8

Also, given that person has enough money to travel at most 20 miles

Domain is given as

D={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19}

Let us calculate the cost for each value of domain

Miles (x)	Cost (y) y=3.3x+2.8
0	2.8
1	6.1
2	9.4
3	12.7
4	16.0
5	19.3
6	22.6
7	25.9
8	29.2
9	32.5
10	35.8
11	39.1
12	42.4
13	45.7
14	49
15	52.3
16	55.6
17	58.9
18	62.2
19	65.5

Range is given as

R={2.8,6.1,9.4,12.7,16.0,19.3,22.6,25.9,29.2,32.5,35.839.1,42.4,45.7,49.0,52.3,55.6,58.9,62.2,65.5}

Conclusion:

Hence, domain is D={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} and

range is R={2.8,6.1,9.4,12.7,16.0,19.3,22.6,25.9,29.2,32.5,35.839.1,42.4,45.7,49.0,52.3,55.6,58.9,62.2,65.5}

Chapter 3.1, Problem 17E

Chapter 3.1, Problem 19E

Chapter 3 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - 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