There is no direct method of using a Card as filter, you can't set it as one or assign a bookmark to an action on it.
What you need to is create for example a shape that sits on top of the visual, turn ofs the fill, background and boarder options, just to leave a transparent shape:

Then create two bookmarks, one with a filter for Students Eligible, and the other for Students Attended. You may have to create a third bookmark assigned to a button or other object to return to 'No filters'.
Assign the bookmark to the shape object and ensure that it is on top of the visual. So when the use no clicks on the card, it will click on the shape, which will then filter the page based on the bookmark.

You can if you wish, just use the Bookmark buttons rather than click on the card object, which may be better from a user point of view