a. Answer x is the independent variable. y is the dependent variable. Explanation Given: The function y = 10 x + 100 represents the amount y (in dollars) of money in your bank after you babysit for x hours. The value of x does not depend on y . So, x is the independent variable. The value of y changes as the value of x is changed. The value of y is dependent on x . So, y is the dependent variable. Hence, x is the independent and y is the dependent variable. b. To determine The domain and range of the function Answer Domain of the function is 4 hours. Range of the function is $140. Explanation Given: The function y = 10 x + 100 represents the amount y (in dollars) of money in your bank after you babysit for x hours. You babysit for 4 hours. Calculation: Domain is the value of x . Here, x = 4 hours. So the domain is 4. Range is the value of y . For, x = 4 , y = 10 x + 100 = 10 × 4 + 100 = 40 + 100 = 140 So the range is 140. Hence the domain is 4 and the range is 140.

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, Problem 4CR

To determine

Identify the independent and dependent variables.

Expert Solution

Answer to Problem 4CR

x is the independent variable.

y is the dependent variable.

Explanation of Solution

Given:

The function y=10x+100 represents the amount y (in dollars) of money in your bank after you babysit for x hours.

The value of x does not depend on y . So, x is the independent variable.

The value of y changes as the value of x is changed. The value of y is dependent on x . So, y is the dependent variable.

Hence, x is the independent and y is the dependent variable.

To determine

The domain and range of the function

Expert Solution

Answer to Problem 4CR

Domain of the function is 4 hours.

Range of the function is $140.

Explanation of Solution

Given:

The function y=10x+100 represents the amount y (in dollars) of money in your bank after you babysit for x hours. You babysit for 4 hours.

Calculation:

Domain is the value of x .

Here, x=4 hours.

So the domain is 4.

Range is the value of y .

For, x=4 ,

y=10x+100=10×4+100=40+100=140

So the range is 140.

Hence the domain is 4 and the range is 140.

Chapter 3, Problem 3CR

Chapter 3, Problem 5CR

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

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