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250tThe population of Sasquatch in Salt Lake County was modeled by the function P(t)wheret + 25t = 0 represents the year 1803. When were there fewer than 150 Sasquatch in Salt Lake County?Present your answer, to the nearest whole year, in interval notation.There were fewer than 150 Sasquatch in Salt Lake City between the years

250tThe Population Of Sasquatch In Salt Lake County Was Modeled By The Function Ptwheret 25t 0 Represents The Year 1803 When Were There Fewer Than 150 Sasquatch class=

Sagot :

Solution

Given the population function to be;

[tex]P(t)=\frac{250t}{t+25}[/tex]

When P(t) = 150

[tex]\begin{gathered} \Rightarrow\frac{250t}{t+25}=150 \\ \\ \Rightarrow250t=150(t+25) \\ \\ \Rightarrow250t=150t+3750 \\ \\ \Rightarrow250t-150t=3750 \\ \\ \Rightarrow100t=3750 \\ \\ \Rightarrow t=37.5\approx38 \end{gathered}[/tex]

1803 + 38 = 1841.

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