Question

Find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 5 10 15 20

A.
1

B.
2

C.
3

D.
5

Answer 1

The answer is D.

Formula: k = y/x

5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5

Answer 2

Option D - 5

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
`k=(y)/(x)`, 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

`k=(5)/(1)=5`

x=2,y=10

`k=(10)/(2)=5`

x=3,y=15

`k=(15)/(3)=5`

x=4,y=20

`k=(20)/(4)=5`

Therefore, The constant of variation is 5.

So, Option D is correct.