Question

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?

Answer 1

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.

Explanation:

Inequality for the population of Farmsville:

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

`y(x) > 2000x + 2100`

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).

`y(2) > 2000(2) + 2100`

`y(2) > 6100`

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.