the amount of pollutants entering the atmosphere varies directly with the population living in an area
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the amount of pollutants entering the atmosphere varies directly with the population living in an area
the amount of pollutants entering the atmosphere varies directly with the population living in an area
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Answer:
When two variables vary "directly", it means that they fit into the equation y=mx, where y varies directly with x, with the multiplier m to be determined by the information you are given.
For this problem, P (pollutants) varies directly with N (people) so the equation is P=mN for their relation.
You are given that City A has P = 260,000 tons of pollutants and N = 416,000 people. Plug these into the equation above (P=mN) and you get 260,000=(m)(416,000). If we divide each side by 416,000, you get that m=0.625. So now you have the multiplier for your equation: P=(0.625)N.
Use the complete equation now to find out how many P (pollutants) City B will produce.
P=(0.625)N
P=(0.625)(350,000) [[350,000 was the given "N" or amount of people in City B]]
P=218,750 tons of pollutants
We should expect 218,750 tons of pollutants from City B.
Step-by-step explanation:
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