# Math

In 1994, the life expectancy of males in a certain country was 67.8 years. In 2000, it was 70.6 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear function
E(t)that fits the data is E(t)=__t+__ round to nearest tenth. Use the function to predict life expectancy of males in 2005. E(t)=__. Round to the nearest 10.

1. 👍 0
2. 👎 0
3. 👁 59
1. Since E = 67.8 when t is zero,
E(t) = 67.8 + a t
Using data from 2000 (when t = 6),
70.6 = 67.8 + 6 a
6a = 2.8, so
a = 0.47
In 2005, t = 11
so E in 2005 = 67.8 + 0.47*11 = 73.0

Such a linear relationship cannot be expected to be valid many years beyond 2000. It is called an extrapolation.

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### math (word problem)

In 1994, the life expectancy of males in a certain country was 65.7 years. In 2000, it was 69.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994 the linear function E(t) that

asked by scooby on November 6, 2009
2. ### Algebra

In 1994, the life expectancy of males in a certain country was 64.8 years. In 2000, it was 67.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. E(t)=______ t + ______. Use

asked by Jackie on August 18, 2010
3. ### Algebra

In 1994 the life expectancy of males in a certain country was 61.6 years. In 1999, it was 63.8 years. Let E? represent the life expectancy in year t and let t represent the number of years since 1994. 1) The linear function E(t)

asked by Mary on April 8, 2010
4. ### Algebra

In 1994, the life expectancy of males in a certain country was 63.8 years. In 2001, it was 66.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear function e(t) that

asked by Debbie on January 29, 2012
5. ### math

in 1994 the life expectancy of malews in a certain country was 70.9 years. In 1998 it was 73.6 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994 The linear functionE(t) that

asked by jason on June 30, 2009
6. ### math

in 1990 the life expectancy of males in a certain country was 64.7 years. In 1994 it was 67.3 let E represent the life expectancy in year t and let t represent the number of years since 1990. What is the linear function E(t) that

asked by Renee on February 20, 2010
7. ### math

In 1994 the life expectancy of males in a certain country was 72.7 years. In 2oo1, it was 74.8 years. Let E represent the expectancy in year T and let T represent the number of years since 1994. The linear function E (t) that fits

asked by Anonymous on April 17, 2011
8. ### algebra

in 1995 the life expectancy of males in a certain country was 67.4 years. in 2000, it was 70.9 years let E represent the life expectancy in years t and let t represent the number of years since 1995. the linear fucntion E(t) that

asked by Dolores on July 23, 2009
9. ### Mat 116

In 1990, the life expectancy of males in a certain country was 64.7 years. In 1994, it was 68.4 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990. The linear function E(t) that

asked by Rachel on August 2, 2008
10. ### Algebra

I am lost, and I bet it is simple, but I have been working with many problems and I keep coming back to this and I grow increasingly confused. How do I begin to solve this problem? In 1993 the life expectancy of males in a certain

asked by H on January 6, 2010

More Similar Questions