Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 2. ? Description

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Answer 1 · 2018-06-06T15:09:35

#color(blue)(k=4)#

For inverse variation we have:

#y prop k/x^n#

Where #bbk# in the constant of variation.

If #x=2# and #y=2#

Then substituting these values in #ypropk/x^n#:

#2=k/2#

#k=2*2=4#

Note:

#prop# means proportional. You will often see #=# used in place of this.

Answer 2 · 2018-06-06T15:21:50

#k=4#

#y prop 1/x -> "statement"#

Therefore;

#y = 1/x cdot k#

#y = k/x#, where #k# is constant..

When;

#x = 2 and y = 2#

Plugging in the values into the equation..

#2 = k/2#

#2/1 = k/2#

Cross multiplying;

#2 xx 2 = k xx 1#

#4 = k#

Hence;

#k=4#