���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
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The correct answer is b) corresponds to; depends on.
To understand why, let's break down the information given in the question.
The statement "if a relation exists between x and y" means that there is some sort of connection or association between x and y.
The phrase "then we say that x ____ y" indicates that we are looking for a phrase that describes the relationship between x and y.
The phrase "or that y ___x" tells us that the answer should work in both directions, meaning that we can also describe the relationship as y something x.
Finally, the statement "and we write x---->y" indicates that we use an arrow symbol to represent the relationship between x and y.
Based on this information, we can conclude that the correct answer is b) corresponds to; depends on because it accurately describes the relationship between x and y and satisfies the conditions mentioned.