Concept:A mapping rule gives the relationship between each input x and its corresponding output y.Substitute the given x-values into each option to see which rule produces the listed y-values.Explanation:Check option A: x⟶15x.For x=1: 15(1)=15, which matches y=15.For x=2: 15(2)=30, which matches y=30.For x=3: 15(3)=45, but the table shows y=46.For x=4: 15(4)=60, which matches y=60.Every value matches exactly except the third one, which differs by only 1.So the given 46 is most likely a misprint for 45.The other options do not fit the pattern for even the first two pairs.Therefore, the intended mapping rule is x⟶15x.Answer:Option A: x⟶15x