Explanation Consider, the graph appears linear when the y -axis is on the logarithmic scale and the x -axis is on the logarithmic scale which is: ln y = a ln x + b Collect the data from gapminder.org of indication HIV estimated prevalence ages between 15 to 49 .Consider the country which is Argentina and also consider the year from 1979 to 1991 to show the variation of HIV estimated prevalence ages between 15 to 49 . The data of the HIV estimated prevalence ages between 15 to 49 in percentage of the country when the y -axis is on the logarithmic scale and the x -axis is on the logarithmic scale is listed in the tabular form which is obtained from gapminder.org. Country→ Argentina Years ln y ln x 1979 .0020 27.7 million 1980 .00262 28.1 million 1981 .002003 28.5 million 1982 .0426 29 million 1983 .0544 29.5 million. 1984 .069 29.9 million 1985 .0886 30.4 million 1986 .113 30.9 million 1987 .144 31.3 million 1988 .184 31.8 million 1989 .235 32.3 million 1990 .3 32.7 million 1991 .3 33.2 million Then obtain a relationship which is: ln y = a ln x + b where ln x shows the population and ln y shows the percentage of HIV estimated prevalence. Substitute the year of two values of ln x and ln y to get the relationship between them Substitute ln x = 27.7 and ln y = .0020 ln y = a ln x + b .0020 = a ( 27.7 ) + b .0020 = 27.7 a + b Substitute ln x = 28.1 and ln y = .0026 ln y = a ln x + b .0026 = a ( 28.1 ) + b .0026 = 28.1 a + b Solve a and b by substitution method, then consider the two equation which is obtained from the data

12th Edition

ISBN: 9780135904282

Author: Lial, HUNGERFO

Publisher: PEARSON

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 4, Problem 3EP

To determine

A relationship which appears linear when the y-axis is on the logarithmic scale and the x-axis is on the logarithmic scale and also tell about its shape.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 2EP

Chapter 5.1, Problem 1CP

Students have asked these similar questions

I need expert handwritten solution.to this integral

How to understand and learn Laurent's serial and what's the point of Laurent's serial And what are the steps of a smooth solution for Laurent

Not use ai please

Chapter 4 Solutions

MYMATHLAB ACCESS CODE - MATHEMATICS WIT

Ch. 4.1 - Checkpoint 1 (a) Fill in this table: x g(x) =...Ch. 4.1 - Prob. 2CP Ch. 4.1 - Checkpoint 3 Use a graphing calculator to graph ...Ch. 4.1 - Prob. 4CP Ch. 4.1 - Checkpoint 5 Graph Ch. 4.1 - Prob. 6CP Ch. 4.1 - Checkpoint 7 Per-person wine consumption (in...Ch. 4.1 - Classify each function as linear, quadratic, or...Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

A relationship which appears linear when the y -axis is on the logarithmic scale and the x -axis is on the logarithmic scale and also tell about its shape.

Concept explainers

Videos

A relationship which appears linear when the y-axis is on the logarithmic scale and the x-axis is on the logarithmic scale and also tell about its shape.

Want to see the full answer?

Chapter 4 Solutions