A Linux systems administrator needs to extract the contents of a file named /home/dev/web.

File extraction and backup restoration are fundamental System Management tasks covered in CompTIA Linux+ V8. In this scenario, the administrator must extract the contents of an existing backup file into a target directory.

The correct command is option B, which uses cpio in extract mode. The command changes into the destination directory (/var/www/html/) using pushd, extracts the archive contents with cpio -idv, and then returns to the original directory with popd. This ensures that files are restored into the correct location without modifying paths inside the archive.

The cpio utility is commonly used for backups created with cpio -o and supports reading archive data from standard input. Linux+ V8 documentation includes cpio as a valid and supported archive format for backup and restore operations.

The other options are incorrect. Option A incorrectly assumes the backup is a gzip-compressed tar archive. Option C creates a new archive instead of extracting one. Option D assumes the file is a ZIP archive, which is not indicated by the .bkp extension.

Linux+ V8 emphasizes using the correct tool based on the archive format and restoring files into the intended directory. Therefore, the correct answer is B.