The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by with t = 0 corresponding to the beginning of 1995.What will be the ratio at the beginning of 2005?
A)f(1995) = -75.5
B)f(1995) = 75.5
C)f(10) = -3.9
D)f(10) = 4.7
E)f(10) = 3.9

Question

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by  with t = 0 corresponding to the beginning of 1995.What will be the ratio at the beginning of 2005?
A)f(1995) = -75.5 
B)f(1995) = 75.5 
C)f(10) = -3.9 
D)f(10) = 4.7 
E)f(10) = 3.9

Quizplus · Accepted Answer

We need to find the value of the function f at the beginning of 2005, which corresponds to t = 10. Substituting t = 10 in the given function, we get:

f(10) = 11e^(0.03(10))/(1+3e^(0.03(10)))
      = 11e^(0.3)/(1+3e^(0.3))
      ≈ 3.9

Therefore, the ratio of working-age population to the elderly at the beginning of 2005 is approximately 3.9. Hence, the correct choice is E.

The Ratio of Working-Age Population to the Elderly in the United