���if a relation exists between x and y, then we say that x ____ y or that y ___x and we write x---->y

a)depends on;corresponds to
b)corresponds to; depends on
c)depends on;depends on
d)corresponds to; corresponds to

looks like (b) to me.

The correct answer is b) corresponds to; depends on.

To determine the correct answer, let's break down the given information:

"If a relation exists between x and y, then we say that x ____ y or that y ___x and we write x---->y."

Based on this statement, we can conclude that there are two fill-in options: one for x with relation to y, and one for y with relation to x.

The phrase "depends on" implies that y is dependent on x, while "corresponds to" suggests a relationship of similarity or agreement between x and y.

Therefore, the correct answer would be:

a) depends on; corresponds to