Answer:
Option D - 5
Step-by-step explanation:
Given : Table
x 1 2 3 4
y 5 10 15 20
To find : The constant of variation for the relationship shown in the following table?
Solution :
The constant of variation means the relationship between variables does not change.
The constant of variation for an equation is [tex]k=\frac{y}{x}[/tex], where k is the constant of variation.
Now, We have given the value of x and y substitute in the formula,
x=1,y=5
[tex]k=\frac{5}{1}=5[/tex]
x=2,y=10
[tex]k=\frac{10}{2}=5[/tex]
x=3,y=15
[tex]k=\frac{15}{3}=5[/tex]
x=4,y=20
[tex]k=\frac{20}{4}=5[/tex]
Therefore, The constant of variation is 5.
So, Option D is correct.