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The population of a town has been growing, following the equation P = 200 t + 5500 , where t is years after 2010. The number of restaurants in the town has been growing according to the equation R = 2t + 40. Complete an equation for the number of restaurants per capita (per person). How many restaurants per capita does this model predict for the year 2017?

Answer :

Answer:

The given model predict that the required number is 0.0078.

Step-by-step explanation:

We need to find the number of per capita restaurants for the year of 2017.

As we are taking the year of 2017, here t = (2017 - 2010) = 7.

In 2017, the population, of the town will be [tex]200\times7 + 5500 = 6900.[/tex]

The number of restaurants in 2017 is [tex]2\times7 + 40 = 54.[/tex]

The number of per capita restaurants is [tex]\frac{54}{6900} = 0.0078[/tex].

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