HW-12 Rational Equations: 7.) The population of a town has been growing, followi

Question

HW-12 Rational Equations:

7.) The population of a town has been growing, following the equation P=300t+5000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+20.

Write an expression that represents the number of restaurants per capita (per person) t years after 2010.
Restaurants per capita: ____.
How many restaurants per capita does this model predict for the year 2016? ___    (Round to the nearest thousandth.)
This means that in 2015, for every 1000 people, there are ____, restaurants. (Round to the nearest whole number.)

Explanation / Answer

Restaurants per capita (t) = Number of restaurants / population

=(6t+20)/(300t+5000)

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model predict for the year 2016, that is t= 2016 -2010 = 6

(6*6+20)/(300*6+5000) =0.008

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Please check this part, here year should be 2016(or let me know in comment)

This means that in 2016, for every 1000 people, there are ___8_, restaurants. (Round to the nearest whole number.)

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