If y varies inversely with x
and y is 10 when x is 5,
then what is y when x is 2?

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

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

Where:

k: It is the constant of proportionality

We have to:

We find the value of y when x = 2:

Finally, we have to

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer is 8/21

hope this