SOLUTION: The number N of aluminum cans used each year varies directly as the number of people P using the cans. If 56 people use 18,088 cans in one year, how many cans are used in a city wh

Question 324275: The number N of aluminum cans used each year varies directly as the number of people P using the cans. If 56 people use 18,088 cans in one year, how many cans are used in a city which has a population of 1,965,000?

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
N = Pk
We need to find k (the constant of proportionality) as step one.
18,088 = 56k
18,088/56 = k
323 = k
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We now let k = 323 and P = 1,965,000. We need to find N in the equation
N = Pk
N = (1,965,000)(323)
N = 634,695,000
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This is a direct variation word problem.
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