Algebra

posted by .

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) that fits the data is: E(t)=___t+___

2) Use the function to predict the life expectancy of males in 2007.
E(13)=______

  • Algebra -

    Are we assuming that the increase is linear ?
    If so, then
    treat you given data as two ordered pairs
    (0,61.6) and (5,63.8)

    slope = (63.8-61.6)/5
    = .44
    then E(t) = .44t + b , the standard form of a linear equation
    plug in (0,61.6) which is like the y-intercept, so b= 61.6

    E(t) = .44t + 61.6

    test it for t=5 , the year 1999
    E(5) = .44(5) + 61.6 = 63.8
    as expected

    now when year is 2007, t = 13
    E(13) = .44(13) + 61.6 = 67.3

  • Algebra -

    Thank you so much, I was having problems with this question.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. 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 fits …
  3. algebra

    help someone please: In 1993 the life expectancy of males in a certain country was 71.2 years. In 1997 it was 73.4 years. Le E represent the life expectancy in year t represent the number of years since 1993 E(t)= ___t + ___ ?
  4. 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 fits …
  5. 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 fits …
  6. 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 the …
  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 …
  8. Algebra

    In 1992, the life expectancy of males in a certain country was 63.8 years. In 1999, it was 66.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1992. The lineahntthe nearest ter function …
  9. math

    In 1995, the life expectancy of males in a certain country was 62.1 years. In 1999, it was 65.7 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995. what is the linear function?
  10. 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 …

More Similar Questions