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 12CT

To determine

To find: The slope and the y -intercept of the graph

Expert Solution

Answer to Problem 12CT

Slope is 125 and y - intercept is 50.

Explanation of Solution

Given:

Equation of the graph f(x)=125x+50

Formula used: Slope, m=riserun=y2−y1x2−x1

Calculation:

Slope, m=y2−y1x2−x1

x1=0 x2 =3.6

y1 =50 y2 =500

m=y2−y1x2−x1=500−503.6−0

m=125

Also the equation of the graph f(x)=125x+50 , which is a straight line. Comparing it with y=mx+c we get m=125 and c=50 , thus slope is 125 and y − intercept is 50.

Conclusion:

Slope is 125 and y − intercept is 50.

To determine

To find: Two ways to find f(3)

Expert Solution

Answer to Problem 12CT

The two ways to find f(3) is by solving the equation by plugging x=3 and second is by graphically looking at the x and y coordinate.

Explanation of Solution

Given:

f(x)=125x+50

Calculation:

Method 1:

Plug x=3 into f(x)=125x+50

That is,

f(3)=125(3)+50f(3)=425

Method 2:

Go to where x=3 on the graph and find where it land on the equation line. Now f(3)=425 means at 3hrs climber will be at 425ft.

Thus, the two ways to find f(3) is by solving the equation by plugging x=3 and second is by graphically looking at the x and y coordinate.

To determine

To find: The time taken to reach the top of the cliff.

Expert Solution

Answer to Problem 12CT

It takes 3.6 hrs to reach the top of the cliff.

Explanation of Solution

Given:

f(x)=125x+50

Calculation:

The height of the cliff is 500 ft. Putting f(x)=500 in the equation f(x)=125x+50 , we will get

f(x)=125x+50500=125x+50500−50=125x450=125xx=450125=3.6

Thus the time taken to reach the top of the cliff is 3.6 hrs.

Chapter 3, Problem 11CT

Chapter 3, Problem 13CT

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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