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AveGali [126]
3 years ago
14

The pair of values below is from a direct variation. Find the missing number.

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

The answer is 2.

2  since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

\frac{6}{4}=\farc{3}{x}

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

6(x)=4(3)

6x=12

Divide boht sides by 6:

x=\frac{12}{6}

x=2

Anastasy [175]3 years ago
3 0

Answer:

Step-by-step explanation:

You are solving for the direct variation. This means that the amount of change for is consistent for both x & y:

Note: (x , y) & (x₁ , y₁)

(x , y) = (4 , 6)

(x₁ , y₁) = (x , 3)

Set the two equal to each other:

(4 , 6) = (x , 3)

Find common denominators (y). Remember that what you multiply to one you multiply to the other:

(4 , 6) = (x * 2, 3 * 2) = (2x , 6)

Simplify. Isolate the variable x. Divide:

(4) = (2x)

(4)/2 = (2x)/2

x = 4/2

x = 2

x = 2 is your answer.

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