Question

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions in a certain country each year from 1980 to the present can be approximated by t'( =0.0014081-1980)0.50 where is the year. a. Using the fact that in 1980 there were 253,477,000 outpatient visits, find a formula giving the approximate number of outpatient visits as a function of time b. Use the answer to part a to forecast the number of outpatient visits in the year 2015 a. The number of outpatient visits as a function of time is 10-D

Answer 1

given o.so f'H= 0.001401 t (t-1980) 0.5o df at 0.00140rt (t-1960) oso at +4)= 10 0.poluost (+4980) Substitution let use us t-1980 t = uf19% dua at 11 (0.00|408) (441980) (u) dll u dut 05 1980 u du s Os color π du ] 1 2 el IT 0.voluor 1940 sel te! of ) 27 off 모 is a te 0, 001408 x 19604 f - The u 0.0014or(2) 5 Where 'c' integration Constant resubstitut urt 1980 fet 돈 "E) -0.001408x2 1+-1980) to role of 1980x 2 (t-1980) te 2 3 5 3 2 f(t) *444#- 1980 ft +1320) of C TH25; using initial Conditions to find 'o for at t=1980 ACHE 253, 477,000 S. uu (1980-198013 (196041320) ec 253 477ouo a TH25 253 47 7ooo 11 O of C 1 cs 253477ovo

Hence 2534740 fitla 44(+-1980) (t+1320) f 78125 is outpatient number of the this Hence Nisilors a functim time, od د (6) t = 2015 + ( +1 at f(2015) = uu (2015–1980) 2 (2015 +1320) 253477000 4 78125 +(2015) = 253437388