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P=130t+17800 gives the total population, P, of a small city t years after 1951. Use the equation to determine when (what year) the population reached a population of 19880 people.



The population reached a total of 19880 people in what year?

Respuesta :

Answer:

The population reached a total of 19880 people in 1967.

Step-by-step explanation:

The population in t years after 1951 is given by:

[tex]P(t) = 130t + 17800[/tex]

Which year the population reached a population of 19880 people.

This is t years after 1951

t is found when [tex]P(t) = 19880[/tex]

So

[tex]P(t) = 130t + 17800[/tex]

[tex]19880 = 130t + 17800[/tex]

[tex]130t = 2080[/tex]

[tex]t = \frac{2080}{130}[/tex]

[tex]t = 16[/tex]

1951 + 16 = 1967

The population reached a total of 19880 people in 1967.

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