# WRITE INVERSE VARIATION EQUATIONS WORKSHEET

## About "Write inverse variation equations worksheet"

Write inverse variation equations worksheet :

Here we are going to see some practice questions on writing direct variation equations.

## Writing inverse variation equations worksheet - Practice questions

(1)  In an inverse variation, y = 1 when x = 6.Write an inverse variation equation that shows the relationship between x and y.

(2)  In an inverse variation, y = 50 when x = 40.Write an inverse variation equation that shows the relationship between x and y.

(3)  In an inverse variation, y = 50 when x = 8.Write an inverse variation equation that shows the relationship between x and y.

(4)  In an inverse variation, y = 2 when x = 2.Write an inverse variation equation that shows the relationship between x and y.

(5)  In an inverse variation, y = 3 when x = 8.Write an inverse variation equation that shows the relationship between x and y.

## Write inverse variation equations worksheet - Solution

Question 1 :

In an inverse variation, y = 1 when x = 6.Write an inverse variation equation that shows the relationship between x and y.

Solution :

Equation of inverse variation :

y = k/x  ---------(1)

In order to find the value of "k" in the equation, we need to apply the values of x and y in the equation.

1  =  k (6)

1  =  6k

Divide by 6 on both sides

1/6  = 6k/6

1/6  =  k

k  =  1/6

By applying the value of k in the (1)st equation, we get

y = 6/x

Hence the required equation is y = 6/x.

Question 2 :

In an inverse variation, y = 50 when x = 40.Write an inverse variation equation that shows the relationship between x and y.

Solution :

Equation of inverse variation :

y = k/x  ---------(1)

In order to find the value of "k" in the equation, we need to apply the values of x and y in the equation.

50  =  k/40

Multiply by 40 on both sides,

50(40)  = (k/40) x 40

2000  =  k

k  =  2000

By applying the value of k in the (1)st equation, we get

y = 2000/x

Hence the required equation is y = 2000/x.

Question 3 :

In an inverse variation, y = 50 when x = 8.Write an inverse variation equation that shows the relationship between x and y.

Solution :

Equation of inverse variation :

y = k/x  ---------(1)

In order to find the value of "k" in the equation, we need to apply the values of x and y in the equation.

50  =  k/8

Multiply by 8 on both sides,

50(8)  = (k/8) x 8

400  =  k

k  =  400

By applying the value of k in the (1)st equation, we get

y = 400/x

Hence the required equation is y = 400/x.

Question 4 :

In an inverse variation, y = 2 when x = 2.Write an inverse variation equation that shows the relationship between x and y.

Solution :

Equation of inverse variation :

y = k/x  ---------(1)

In order to find the value of "k" in the equation, we need to apply the values of x and y in the equation.

2  =  k /2

Multiply by 2 on both sides,

2(2)  =  (k/2) x 2

4  =  k

k  =  4

By applying the value of k in the (1)st equation, we get

y = 4/x

Hence the required equation is y = 4/x.

Question 5 :

In an inverse variation, y = 3 when x = 8.Write an inverse variation equation that shows the relationship between x and y.

Solution :

Equation of inverse variation :

y = k/x  ---------(1)

In order to find the value of "k" in the equation, we need to apply the values of x and y in the equation.

3  =  k /(8)

Multiply by 8 on both sides,

3(8)  = (k/8) x 8

24  =  k

k  = 24

By applying the value of k in the (1)st equation, we get

y = 24/x

Hence the required equation is y = 24/x.

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