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20.
The pair of points is on the graph of an inverse variation. Find the missing value.

(2.4, 3) and (5, y)

A. 1

B. 1.44

C. 6.25

D. 0.69

Respuesta :

lalamcg115

Answer:

Step-by-step explanation:

In verse variation would be 3  = k / 2.4   so k  = 7.2

So we have  y = 7.2 / 5  = 1.44

Answer is 1.44.

Answer:

Hence, the value of y is:

1.44

Step-by-step explanation:

It is given that:

The pair of points is on the graph of an inverse variation.

(2.4, 3) and (5, y)

We have to find the missing value y in the point.

As we know that in the inverse variation the value of y is the inverse value of x by some k.

i.e. in first point (2.4,3) let 'k' be a number such that:

Hence, the inverse is k=7.2

Now in the second point (5,y) we find the value of y as:

Hence, the value of y is:

1.44

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MrRoyal

Variation can be direct, inverse, joint or combined.

The missing value of y is (b) 1.44

The points are said to represent inverse variation.

So, we have:

[tex]x_1 \times y_1 = x_2 \times y_2[/tex]

Substitute x and y values in the equation

[tex]2.4 \times 3 = 5\times y_2[/tex]

Multiply 2.4 and 3

[tex]7.2= 5\times y_2[/tex]

Divide both sides by 5

[tex]1.44 = y_2[/tex]

Rewrite as:

[tex]y_2 = 1.44[/tex]

Hence, the missing value of y is (b) 1.44

Read more about inverse variations at:

https://brainly.com/question/1327394

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