Answer:
The correct answer is option a.
Step-by-step explanation:
Given that there is a proportional relationship between x and y.
[tex]x\propto y[/tex]
[tex]x=ky[/tex]
k = proportionality constant
From data take :
x = 15 , y = 3
[tex]\frac{15}{3}=k[/tex]
k = 5
From the given options, set which will give ratio equal to 5 can be included;
a) [tex]\frac{10}{2}=5[/tex]
k = 5
b) (40, 9)
[tex]\frac{40}{9}\neq 5[/tex]
c) (50, 38)
[tex]\frac{50}{38}\neq 5[/tex]
d) (100, 76)
[tex]\frac{100}{76}\neq 5[/tex]
Additional set of values could be included in the table is (10,2).