BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Unitary Method

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Question

Chapter 5.5, Problem 27E

To determine

To find: the function r in terms of x that represents the time spends running from point A to D . And the function s in terms of x that represents the time spends swimming from point D to B .

Expert Solution

Answer to Problem 27E

The functions are r=(20−x)6.4 and s=(144+x2)(0.9) .

Explanation of Solution

Given information:

Elvis speed of running is 6.4 meters per second and swimming speed is 0.9 per second.

Calculation: to find the function r , use the speed formula,

r=(20−x)6.4

And the function s can be written as:

s=(144+x2)(0.9)

To determine

To find: the function t in terms x that represents the total time.

Expert Solution

Answer to Problem 27E

The function is t=(20−x)6.4+(144+x2)(0.9) .

Explanation of Solution

Given information:

The functions are r=(20−x)6.4 and s=(144+x2)(0.9) .

Calculation: to find the total time function, add both functions ,

t=(20−x)6.4+(144+x2)(0.9)

To determine

To graph: the function t by using graphing calculator.

Expert Solution

Explanation of Solution

Given information:

The function is t=(20−x)6.4+(144+x2)(0.9) .

Graph: Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression (20−x)6.4+(144+x2)(0.9) which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 5.5, Problem 27E

Interpretation: from the graph it can be observed that at x≈23 , time is minimum.

Chapter 5.5, Problem 26E

Chapter 5.5, Problem 28E

Chapter 5 Solutions

BIG IDEAS MATH Algebra 2: Common Core 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

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - 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