Question

From 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) = 12t + 986 and T (total teachers) = 46t + 2200. Find an expression that models the number of elementary teachers F for this time period.F = 34t + 1214F = 58t + 3186F = 552tF = 3.83t

Answer 1

To determine the number of elementary teachers we subtract the seconday teachers to the total teachers:

$\begin{gathered} F=46t+2200-(12t+986) \\ F=34t+1214 \end{gathered}$

Therefore, the number of elementary teachers is:

$F=34t+1214$