Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.1, Problem 30E

To determine

To find: the slope and y -intercept with complete linear equation.

Expert Solution & Answer

Answer to Problem 30E

The equation is y=20x+280

The slope m=20 and y -intercept is $280.

Explanation of Solution

Given information:

m=25, b = 250

Formula used:

y−y1=m(x−x2)

Calculation:

The graph is shown as below,

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 5.1, Problem 30E

To calculate the amount after 6 months by solving for y when x = 6 :

y=25(6)+250y=400($400)

Therefore, to find a linear equation that passes through point (6, 400).

Use point-slope form:

y−y1=m(x−x2)

Let m = 20 & substitute the point:

y−400=20(x−6)

Add 400

y−400=20x−120y=20x+280

The slope ( m = 20 ) is the monthly increase of your account at $20 per month.

The y -intercept is your initial account at $280 (0 months).

Conclusion:

The slope m = 20 and y -intercept is $280.

Chapter 5.1, Problem 29E

Chapter 5.1, Problem 31E

Chapter 5 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E

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