Over twenty years, it was found that the number of doctors of medicine, MD (in thousands), in the United States can be approximated by MD=(28,390+693t)/(85-t) where t=0 represents 1980. The number of doctors of osteopathy, DO (in thousands), can be approximated by DO=(776-12t)/(65-2t) .

Write an expression for the total number I of doctors of medicine (MD) and doctors of osteopathy (DO). Simplify the result.

How many MDs did the United States have in 2010? How many MDs did the United States have in 2010?

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Аноним Аноним · Answer 1 · 2019-07-05T19:54:36+02:00

Answer:

16. the expression below.

17. about 470,933 MD's and about 18,743 DO's

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ogorwyne ogorwyne · Answer 2 · 2022-06-22T14:25:07+02:00

The expression for the total number of doctors is [tex]\frac{-1374t^2+43192.22t+67805.35}{(65-2t)(85-t) }[/tex]

a. MD + DO

[tex]\frac{28390+693t}{85-t} +\frac{776-12t}{65-2t}[/tex]

This can be simplified as

[tex]\frac{(28390+693t)(65-2t)+(776-12t)(85-t) }{(85-t)(65-2t) }[/tex]

[tex]= \frac{-1374t^2+43192.22t+67805.35}{(65-2t)(85-t) }[/tex]

b. If t = 0 in 1980, in 2010, t = 30

The number of MD would be

[tex]\frac{28390+693*30}{85-30} \\= 379[/tex]

The number of DO would be

[tex]\frac{776-12*30}{65-2*30}\\\\= 83[/tex]

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