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

Question 12

Multiple Choice

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) =0.0236t40.3401t3+6.556t22.86t+26.8T ( 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) =5.78t+221.5P ( t ) = 5.78 t + 221.5 ,where t represents the year,with t = 0 corresponding to 2000.
Find h(t) =T(t) P(t) h ( t ) = \frac { T ( t ) } { P ( t ) } .


A) h(t) =0.0236t40.3401t36.556t22.86t+26.85.78t+221.5h ( 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) =0.0236t40.3401t3+6.556t22.86t+26.85.78t+221.5h ( 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) =0.0236t40.3401t36.556t22.86t26.85.78t221.5h ( 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) =0.0236t40.3401t3+6.556t22.86t+26.85.78t221.5h ( 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) =0.0236t4+0.3401t3+6.556t22.86t+26.85.78t+221.5h ( t ) = \frac { 0.0236 t ^ { 4 } + 0.3401 t ^ { 3 } + 6.556 t ^ { 2 } - 2.86 t + 26.8 } { 5.78 t + 221.5 }

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