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 dividing the given $T(t)$ function by the $P(t)$ function without altering any of the coefficients or signs in the original functions.

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