On which date shown in the data table was the gravitational attraction between the moon and earth the
greatest?

Gravity is stronger, the closer the two objects are to each other - that's why you can "escape the Earth's gravity" if you go far enough from it.

So we have to look for the date with the shortest distance - it's 24th December 2010, when the distance was only 368000 km.

Answerglycogen;

Benjamin franklin and john adams