Explanation Given: The provided graph: For exercise (24): The system income was $ 575 billion in a year, 2004 and it increased at an average rate of $ 43 billion per year . For exercise (25): The provided expression is written below: B = 0.07 x 2 + 47.4 x + 500 where, B represents the amount paid in benefits, in billion dollars and x represents year after 2004 . Formula Used: The above equation is in quadratic form, so use quadratic formulae: x = − b ± b 2 − 4 a c 2 a Calculation: For exercise (24): Consider the system income that was $ 575 billion in the year, 2004 . Take x year in which the system’s income is $ 1177 billion and it increased at an average rate of $ 43 billion per year . So, the governing equation will be equal to: 43 x + 575 = 1177 43 x = 1177 − 575 43 x = 602 x = 602 43 ≈ 14 So, after 14 years to get the system income $ 1177 billion . The year in which the system’s income is $ 1177 billion is written below: 2004 + 14 = 2018 So, 2018 is the year in which the system’s income is $ 1177 billion . For exercise (25): Consider the expression, B = 0.07 x 2 + 47.4 x + 500 First, solve x to get the year in which the amount will be equal to $ 1177 billion . As B = 1177 , Then, substitute in the above equation to form a quadratic equation: 1177 = 0.07 x 2 + 47.4 x + 500 0.07 x 2 + 47.4 x = 1177 − 500 0.07 x 2 + 47.4 x = 677 0

Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)

7th Edition

ISBN: 9780134708300

Author: Robert F. Blitzer

Publisher: PEARSON

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Question

Chapter 6, Problem 26T

To determine

To calculate: The validity of model data shown by the graph based on the exercise (24) and exercise (25) using the provided graph.

For exercise (24):

The system income was $575 billion in the year, 2004 and it increased at an average rate of $43 billion per year.

For exercise (25):

The provided expression is written below:

B=0.07x2+47.4x+500

where,B represents the amount paid in benefits, in billion dollars and x represents year after 2004.

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Chapter 6, Problem 25T

Chapter 7.1, Problem 1CP

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Chapter 6 Solutions

Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)

Ch. 6.1 - CHECK POINT 1 Evaluate . Ch. 6.1 - CHECK POINT 2 Evaluate x 2 + 4 x − 7 for x = −...Ch. 6.1 - CHECK POINT 3 Evaluate − 3 x 2 + 4 x y − y 3 for...Ch. 6.1 - CHECK POINT 4 The mathematic model M = − 120 x 2 +...Ch. 6.1 - Prob. 5CP Ch. 6.1 - CHECK POINT 6 Simplify: 7 ( 4 x 2 + 3 x ) + 2 ( 5...Ch. 6.1 - Prob. 7CP Ch. 6.1 - Fill in each blank so that the resulting statement...Ch. 6.1 - Fill in each blank so that the resulting statement...Ch. 6.1 - Fill in each blank so that the resulting statement...

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