## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$t=\frac{245700S^2-309614990593}{1064782161}$$
We solve for $t$ as the problems asks us to do: $$1087.7\sqrt{\frac{9t+2617}{2457}}=S\\ \left(\sqrt{\frac{9t+2617}{2457}}\right)^2=\left(\frac{S\cdot \:10}{10877}\right)^2\\ t=\frac{245700S^2-309614990593}{1064782161}$$