In 2000, the life expectancy of females born in certain country was 79.9 years.

aflacatn

aflacatn

Answered question

2021-09-11

In 2000, the life expectancy of females born in certain country was 79.9 years. In 2005, it was 82.1 years. Let E(t) represent the life expectancy and t the number of years after 2000. Assume that a constant rate of change exists for the model formed.
a) Find a linear function that fits the data.
b) Use the function of part (a) to predict the life expectancy of females in 2020.
a) Let E(t) represent the life expectancy and t the number of years after 2000. Write the linear function.
E(t)=?
b) The predicted life expectancy of females in 2020 is ?

Answer & Explanation

Dora

Dora

Skilled2021-09-12Added 98 answers

Step 1
In 2005, t=5
In 2000, t=0
E(0)=79.9
E(2005)=82.1
Suppose a graph between E and t is drawn with E on Y axis and t on X axis, we get slope m as rate of change of life expectance as below,
Step 2
m=dEdt
=Change in EChange in t
=82.179.950
=0.44
a) Since the y intercept is 79.9, the linear equation of line is as below:
E(t)=0.44t+79.9
Step 3
b) At 2020, t=20
E(20)=0.44×20+79.9=88.7
So, life expectancy in 2020 is 88.7.

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