Problema Solution
The amount P of pollution varies directly with the population N of people. City A has a population of 468,000 and produces 260,000 tons of pollutants. Find how many tons of pollution we should expect City B to produce, if we know that its population is 350,000.
Answer provided by our tutors
P varies directly with N if there is a constant k such that
P = k*N
City A has a population of 468,000 and produces 260,000 tons of pollutants
260,000 = k*468,000 divide both sides by 468,000
k = 260,000/468,000
City B has population of 350,000 and pollution P1
P1 = k*350,000
P1 = (260,000/468,000)*350,000
P1 = 194,444.44 tons
City B will produce 194,444.44 tons of pollution.