Question

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

Answer 1

The answer is D.

Formula: k = y/x

5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5 

Answer 2

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 $k=\frac{y}{x}$, 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

$k=\frac{5}{1}=5$

x=2,y=10

$k=\frac{10}{2}=5$

x=3,y=15

$k=\frac{15}{3}=5$

x=4,y=20

$k=\frac{20}{4}=5$

Therefore, The constant of variation is 5.

So, Option D is correct.