The number of people playing tennis T (in millions)in the United States from 2000 through 2007 can be approximated by the function $T ( t ) = 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8$ and the U.S.population P (in millions)from 2000 through 2007 can be approximated by the function $P ( t ) = 5.78 t + 221.5$ ,where t represents the year,with t = 0 corresponding to 2000.
Find $h ( t ) = \frac { T ( t ) } { P ( t ) }$ .

A) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$
B) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$
C) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t - 26.8 } { 5.78 t - 221.5 }$
D) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t - 221.5 }$
E) $h ( t ) = \frac { 0.0236 t ^ { 4 } + 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$

Question

The number of people playing tennis T (in millions)in the United States from 2000 through 2007 can be approximated by the function​ $T ( t ) = 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8$ ​ and the U.S.population P (in millions)from 2000 through 2007 can be approximated by the function $P ( t ) = 5.78 t + 221.5$ ,where t represents the year,with t = 0 corresponding to 2000.
Find $h ( t ) = \frac { T ( t ) } { P ( t ) }$ .
​
A) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ ​
B) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$ ​
C) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } - 6.556 t ^ { 2 } - 2.86 t - 26.8 } { 5.78 t - 221.5 }$
D) $h ( t ) = \frac { 0.0236 t ^ { 4 } - 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t - 221.5 }$ ​
E) $h ( t ) = \frac { 0.0236 t ^ { 4 } + 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }$

Quizplus · Accepted Answer

The correct formula for $h(t)$ is obtained by directly dividing the given $T(t)$ function by the $P(t)$ function, without altering any signs or coefficients from the original functions provided.

The Number of People Playing Tennis T (In Millions)in the United