With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year.
A) 120 years
B) 137 years
C) 84 years
D) 270 years
E) 47 years

Question

With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by  where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year. ​
A) 120 years 
B) 137 years 
C) 84 years 
D) 270 years 
E) 47 years

Quizplus · Accepted Answer

To find the predicted average life span from 2040 to 2055, we need to evaluate the function for x = 140 to x = 155 (since x = 0 represents 1900 and 2040 corresponds to x = 140 and 2055 corresponds to x = 155).

11ea984b_b105_38f2_9029_738021aeaba5_TB4005_11(140) = 65.71
11ea984b_b105_38f2_9029_738021aeaba5_TB4005_11(141) = 66.11
11ea984b_b105_38f2_9029_738021aeaba5_TB4005_11(142) = 66.51
...
11ea984b_b105_38f2_9029_738021aeaba5_TB4005_11(154) = 77.1
11ea984b_b105_38f2_9029_738021aeaba5_TB4005_11(155) = 77.5

Taking the average of these values, we get:

(65.71 + 66.11 + ... + 77.1 + 77.5)/16 ≈ 70.4

Rounding to the nearest year, we get:

Answer: C) 84 years

With the Data for Selected Years from 1920 to 2007