Y varies inversely with x. When y = 0.7, x = 1.8. What is the value of k, the constant of inverse variation? Round to the nearest hundredth, if necessary.

2 Answers
Jun 25, 2018

k=1.26 (nearest to 100th).

Explanation:

Direct proportion is given by: y prop x
Inverse proportion is given by y prop 1/x

So here we have inverse proportion:

y= prop 1/x

0.7 prop 1/1.8

Removing the prop sign and we get the constant k.

0.7 prop 1/1.8

0.7 = k.(1/1.8)

0.7 = k/1.8

0.7 xx 1.8 = k

1.26 = k

Therefore k=1.26 (nearest to 100th).

Jun 25, 2018

1.26

Explanation:

If y is inversely proportional to x, then we have:

yprop1/x

or

y*x=k

=>xy=k

We got: x=1.8,y=0.7

:.k=1.8*0.7

=1.26