The Number of Males M (In Thousands)and the Number of Females

question 95

Multiple Choice

The number of males M (in thousands) and the number of females F (in thousands) participating in high school athletic programs from 1995 through 2001 can be modeled by $M = \frac { 463.76 t + 2866.4 } { 0.09 t + 1.0 }$ and $F = \frac { 3183.41 t - 4762.2 } { t }$ . In these models, t represents the year, with t=5 corresponding to 1995. Find a rational model that represents the total number T of participants in high school athletic programs.

• A) \(\frac { 2719.65 t + 1895.8 } { 0.91 t + 1.0 }\)
• B) \(\frac { 750.27 t ^ { 2 } + 5621.212 t - 4762.2 } { t ( 0.09 t + 1.0 ) }\)
• C) \(\frac { 463.76 t ^ { 2 } + 1895.8 t - 7628.6 } { t ( 0.09 t + 1.0 ) }\)
• D) \(\frac { 3647.17 t - 7628.6 } { 1.09 t + 1.0 }\)
• E) \(\frac { 3183.41 t ^ { 2 } + 7628.6 t - 1895.8 } { t ( 0.09 t + 1.0 ) }\)

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