The population of Farmersville can be modeled by the inequality y > 2,000x + 2,100, where x is the number of years since 2010. Will the population of Farmersville be greater than 6,300 in 2012?

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19-05-2021
Mathematics

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The population of Farmersville can be modeled by the inequality y > 2,000x + 2,100, where x is the number of years since 2010. Will the population of Farmersville be greater than 6,300 in 2012?

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joaobezerra joaobezerra · Answer 1 · 2021-05-21T02:27:22+02:00

Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

[tex]y(x) > 2000x + 2100[/tex]

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

[tex]y(2) > 2000(2) + 2100[/tex]

[tex]y(2) > 6100[/tex]

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.