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The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.?
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The life expectancy, E of male is o linear function of time (year). It...
Solution:
Given,
In 1980, E = 70 years
In 2000, E = 75 years
We can assume that the life expectancy, E increases linearly with time.
Let's find the slope of the line using the two given points:
slope = (change in E) / (change in time)
slope = (75 - 70) / (2000 - 1980)
slope = 0.25 years per year
Therefore, the equation of the line can be written as:
E = 0.25t + b, where t is the time in years and b is the y-intercept (life expectancy at t = 0).
Using the point (1980, 70), we can solve for b:
70 = 0.25(1980) + b
b = 70 - 495
b = -425
So, the equation of the line is:
E = 0.25t - 425
To predict the life expectancy in 2012, we need to substitute t = 2012 in the equation:
E = 0.25(2012) - 425
E = 503 - 425
E = 78 years
Therefore, we can predict that the life expectancy of males in 2012 was 78 years.
Conclusion:
- The life expectancy, E of male is a linear function of time (year).
- It is assumed that E increases linearly with time.
- The slope of the line is found using the two given points.
- The equation of the line is obtained by using the slope and one of the given points.
- The predicted life expectancy in 2012 is obtained by substituting t = 2012 in the equation.
- The predicted life expectancy of males in 2012 is 78 years.
Given,
In 1980, E = 70 years
In 2000, E = 75 years
We can assume that the life expectancy, E increases linearly with time.
Let's find the slope of the line using the two given points:
slope = (change in E) / (change in time)
slope = (75 - 70) / (2000 - 1980)
slope = 0.25 years per year
Therefore, the equation of the line can be written as:
E = 0.25t + b, where t is the time in years and b is the y-intercept (life expectancy at t = 0).
Using the point (1980, 70), we can solve for b:
70 = 0.25(1980) + b
b = 70 - 495
b = -425
So, the equation of the line is:
E = 0.25t - 425
To predict the life expectancy in 2012, we need to substitute t = 2012 in the equation:
E = 0.25(2012) - 425
E = 503 - 425
E = 78 years
Therefore, we can predict that the life expectancy of males in 2012 was 78 years.
Conclusion:
- The life expectancy, E of male is a linear function of time (year).
- It is assumed that E increases linearly with time.
- The slope of the line is found using the two given points.
- The equation of the line is obtained by using the slope and one of the given points.
- The predicted life expectancy in 2012 is obtained by substituting t = 2012 in the equation.
- The predicted life expectancy of males in 2012 is 78 years.
Community Answer
The life expectancy, E of male is o linear function of time (year). It...
1980 - 70 yrs
2000 - 75 yrs
Given,
(E- At)+B
70 = A×1980+B
75 = A× 2000+ B
Solving (I) and (ii) we get,
A= 1/4 ,B = -425
Now E = A× 2012 + B
E = 2012/4 +(-425)
503 - 425 = 78 Answer...
2000 - 75 yrs
Given,
(E- At)+B
70 = A×1980+B
75 = A× 2000+ B
Solving (I) and (ii) we get,
A= 1/4 ,B = -425
Now E = A× 2012 + B
E = 2012/4 +(-425)
503 - 425 = 78 Answer...
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The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.?
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The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.?.
The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The life expectancy, E of male is o linear function of time (year). It is given that in 1980 the life expectancy was 70 years and in 2000 it was 75 years. Make a prediction of life expectancy in 2012.?.
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