BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.2, Problem 38E

(a)

To determine

To check: Whether the equation y=30+5x is a linear equation or not.

(a)

Expert Solution

Answer to Problem 38E

The equation y=30+5x is a linear equation.

Explanation of Solution

Given information:

The equation is y=30+5x where x represents the extra services.

The linear equation is of the form y=mx+b where x is the independent variable, m is the slope and b is the y- intercepts.

The given equation is y=30+5x.

It can be seen that the equation is of the linear equation where where x is the independent variable, 5 is the slope and b is the 30 - intercepts.

Therefore, the equation y=30+5x is linear equation.

(a)

To determine

To find: The domain of the function y=30+5x and also check whether the domain is discrete or continuous.

(a)

Expert Solution

Answer to Problem 38E

The domain is the natural number until 5 and the domain is discrete.

Explanation of Solution

The domain of any function are those values that is defined on the function.

In the given equation y=30+5x , the variable x represents the number of extra services and the variable y represents the cost of dog groomed.

There are 5 different type of extra services that means the number of extra services is the positive numbers.

The amount of money is negative if the value of x=6 that is not possible.

The value of x is defined for the whole numbers until 5.

Therefore, the domain of the function is the set of natural numbers until 5 as per the definition of domain.

Half extra services or part of services is not possible to buy that means the domain is the discrete.

Conclusion:

The domain is the natural number until 5 and the domain is discrete.

(b)

To determine

To graph: The function y=30+5x .

(b)

Expert Solution

Explanation of Solution

Graph:

There is need to find the coordinates of the function.

Substitute x=1 in the function y=30+5x to obtain the value of y .

y=30+5(1)=35

Substitute x=2 in the function y=30+5x to obtain the value of y .

y=30+5(2)=40

The remaining values of x and y is represented below in Table 1.

x	1	2	3	4	5
y	35	40	45	50	55

Table 1

Draw the graph of the function y=30+5x as shown in Figure 1.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 3.2, Problem 38E

Interpretation:

It can be seen from the graph that the y intercept is (0,30) .

Chapter 3.2, Problem 37E

Chapter 3.2, Problem 39E

Chapter 3 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

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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