Which of the following map projections is popular because it keeps all areas slightly distorted, creating a visually appealing map of the entire world?
a. mercator
b. mollweide
c. robinson
d. goode

Robinson is the map projection that is popular because it keeps all areas slightly distorted, creating a visually appealing map of the entire world. It was created in 1974, to solve the problem of Earth appearing flat on every other map projection that existed at the time. This projection shows the whole world at once. 

Robinson is the one map projection among the following choices given in the question that is popular because it keeps all areas slightly distorted, creating a visually appealing map of the entire world. The correct option among all the options that are given in the question is the third option or option "C". I hope it helps.

Just try your best buddy