Grom \( 2000 \) through \( 2010 \) , the number (in thousands) of secondary teachers and total teachers can be modeled by the following equations, where \( t \) is the number of years since \( 2000 \) .
\( H \) (secondary) \( = 12 t + 986 \) and \( T \) (total teachers) \( = 46 t + 2200 \) . Find an expression that models the number of elementary teachers \( F \) for this time period.
\( F = 34 t + 1214 \)
\( F = 58 t + 3186 \)