15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

A. y = 3x

B. y = [tex]\frac{10}{x}[/tex]

C. x = [tex]\frac{y}{3}[/tex]

D. y = [tex]\frac{x}{10}[/tex]

Respuesta :

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

...................................................................................................................................................

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

y

1

x

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x

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