Question

The rainfall, r, is inversely proportional to the water shortage, s, in a city. If the rainfall in the city is 40 inches, there is a water shortage of 200 million gallons per day. Which statement best describes the inverse relation of the rainfall in terms of the water shortage?

Answer 1

This is the concept of proportionality, to model the above information we proceed as follows;
given r is inversely proportional to water shortage, then:
r α 1/s
hence;
r=k/s
where;
k is constant of proportionality;
k=rs
thus when r=40 inches and s=200 million then:
k=(40*200) million
=8000 million
hence the formula for rainfall will be;
r=(8000 million)/s