Respuesta :

MathPhys

Answer:

25

Step-by-step explanation:

y varies inversely with x, so:

y = k / x

When y is 10, x is 5:

10 = k / 5

k = 50

When x is 2:

y = 50 / 2

y = 25

carlosego

For this case we have that if and varies inversely with x, then it is true:

[tex]y = \frac {k} {x}[/tex]

Where:

k: It is the constant of proportionality

We have to:

[tex]10 = \frac {k} {5}\\k = 10 * 5\\k = 50[/tex]

We find the value of y when x = 2:

[tex]y = \frac {50} {2}\\y = 25[/tex]

Finally, we have to [tex]y = 25[/tex]

Answer:

[tex]y = 25[/tex]

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