   # The life expectancy in the United States has risen steadily throughout the twentieth century due to the discovery and improvements of drugs as well as increasing access to quality medical care. The graph below shows the life expectancy at birth by race and sex as a function of time from 1970 to 2009. a. What is the total increase (in years) in life expectancy for a white female over this period? b. What is the average yearly increase in life expectancy for a white female over this period? c. If life expectancy continues to rise at the average rate shown in this graph, what would be the life expectancy of a white female baby born in 2030? ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 17, Problem 75E
Textbook Problem
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## The life expectancy in the United States has risen steadily throughout the twentieth century due to the discovery and improvements of drugs as well as increasing access to quality medical care. The graph below shows the life expectancy at birth by race and sex as a function of time from 1970 to 2009.a. What is the total increase (in years) in life expectancy for a white female over this period?b. What is the average yearly increase in life expectancy for a white female over this period?c. If life expectancy continues to rise at the average rate shown in this graph, what would be the life expectancy of a white female baby born in 2030? Interpretation Introduction

Interpretation:

The total increase in life expectancy, the average yearly increase in life expectancy, and the life expectancy of a white-female baby born in 2030 according to the given graph are to be determined.

Concept Introduction:

Graph is a way of representing numerical data in the form of a chart. A graph makes the analysis of data a little bit easier, for example, it is easy to detect the overall decrease or increase of a particular substance over a wide range.

A two-dimensional graph has two axis. One is the y-axis, which is the vertical axis, whereas, the other is the x-axis, which is the horizontal axis.

Certain quantities can be obtained with the help of graph analysis. These are:

Total change can be determined by subtracting the highest value from the lowest.

Average yearly changes can be found out by dividing the total change by a total number of years.

Total percentage can be determined by dividing the total change by the first value and multiplying by 100.

Yearly percentage can be calculated by dividing the total percentage change by a total number of years.

### Explanation of Solution

a) The total increase in life expectancy for a white female over the period from 1970 to 2009.

The highest life expectancy, which is given in the graph, is 81 years. The lowest life expectancy, which is given in the graph, is 75 years.

The total increase in life expectancy can be found out by subtracting the highest expectancy by the lowest expectancy as follows:

Total increase=8175=6 years

Hence, the total increase is 6 years.

b) The average yearly increase in life expectancy for a white female over the period from 1970 to 2009.

The total increase is 6 years. The range of years or total years, which is given in the graph, is 39 years.

Average yearly change can be found out by dividing the total increase in life expectancy by a total number of years. It is the increase in life expectancy per year. It is calculated as follows:

Average yearly increase=6 year39 year= 0.15 yr

Therefore, the average increase in life expectancy per year is 0

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