To find the number we first put them in proper fraction and decimal form:
[tex]-8\frac{7}{10}=-\frac{87}{10}=-8.7[/tex][tex]-9\frac{1}{5}=-\frac{46}{5}=-9.2[/tex]Now we know we need and number between -9.2 and -8.7. Doing the same for the options we have:
[tex]\begin{gathered} -9\frac{9}{10}=-\frac{99}{10}=-9.9 \\ -9\frac{1}{10}=-9.1 \\ -8\frac{3}{10}=-8.3 \\ -8\frac{1}{10}=-8.1 \end{gathered}[/tex]The number between the options given is -9.1, therefore the answer is B.