0xjackiex0
Answered

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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

Sagot :

pikachu2517
The answer is D.

Formula: k = y/x

5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5 

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.

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