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matt says that the membership in the math club is growing linearly. at the first meeting there were 12 members. by the fifth meeting, the club had grown to 18 members. assuming this growth continues, how many club members can they expect at the seventh meeting?

At the seventh meeting there would be 20 members. If you think about the question carefully there were 12 members at the first meeting, then they skipped 6 meetings, with each meeting being skipped or not written down they added 1 member, so you would add 2 members for the next 2 meetings. making 20 members. 
Hope this helps! 

The first option would be correct if it were one half and not one