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PSAT/NMSQT
PSAT Math Test - Calculator Section

Population vs. Housing Units Growth

Very Hard Heart Of Algebra Linear Equations And Inequalities

In a certain city, the population of the city can be modeled by the linear equation $$P(t) = 300,000 + 10,000t$$, where $$P$$ is the population in the year $$t$$ after 2010. If the number of housing units in the city can be represented by the equation $$H(t) = 250,000 + 5,000t$$, where $$H$$ is the number of housing units in the year $$t$$ after 2010, find the year when the population will become more than three times the number of housing units. Choose the earliest year for which this condition holds.

Hint

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