Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.6, Problem 46E

To determine

To calculate: The number of years for which the number of teams is greater than 1000.

Expert Solution & Answer

Answer to Problem 46E

The required number of years for which the number of teams is greater than 1000 is approximately 3.

Explanation of Solution

Given information:

The model: T(x)=17.155x2+193.68x+235.81 , 0≤x≤6

The inequality: T(x)>1000

Calculation:

The given model is T(x)=17.155x2+193.68x+235.81

And T(x)>1000

Rewrite the model as the inequality.

17.155x2+193.68x+235.81>1000

Solve the inequality using a graph of the inequality and y=1000 .

The graph of the inequality and the line y=1000 is shown below:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 46E

From the above graph, the values of x can be obtained so that the graph T(x) lies above the line y=1000 .

Thus, the value of x is:

x≥3.096x≈3

Hence, the required number of years for which the number of teams is greater than 1000 is approximately 3.

Chapter 3.6, Problem 45E

Chapter 3.6, Problem 47E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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