Question

The genetic-environment correlation where children with different genetic composition evoke responses from adults that strengthen the child's genetic inclinations is called

Answer 1

The described genetic-correlation is called evocative or reactive correlation. The general idea of gene-environment correlation describes the phenomenon when one's genotype affects its environment. It involves three different types: passive, active and evocative gene-environment correlations.
An example of evocative correlation could be the case where a child shows ability in basketball, while his/her parents have no association with sports. However, they may react by increasing the child's basketball experiences. This reaction will reinforce the child's genetic inclination towards basketball.

Answer 2

Reactive or evocative correlation. An example would be a child that shows particular interest and talent to sports. The parents are not particularly inclined to sports and grew up not playing them, but provides the child with opportunities to play and practice them. This action by the parents reinforces the child's genetic tendency to sports.