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A city’s homeless population since the year 2000 can be modeled by this function:

$\displaystyle{ f(x)={35\!\left(x-2000\right)+540} }$

where $x$ represents the year, and $f(x)$ represents the number of homeless people in that year. Estimate the years when this city’s homeless population will be between ${1590}$ and ${3340}$ people. Use an inequality to solve this problem.

Solution: This city’s homeless population will be between ${1590}$ and ${3340}$ people between the year (smaller value) and the year (bigger value).

You can earn partial credit on this problem.