Explanation
Correct answer: C.
Choice C is correct. It's given that the city's minimum hourly wage will increase by $ on the first day of the year for the years after January 1, . Therefore, the total increase, in dollars, in the minimum hourly wage years after January 1, , is represented by . Since the minimum hourly wage on January 1, , was $, it follows that the minimum hourly wage, in dollars, years after January 1, , is represented by . Therefore, the function best models this situation.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This function models a situation where the minimum hourly wage is $ on January 1, , but decreases by $ on the first day of the year for the next years.
Choice B
Choice B is incorrect. This function models a situation where the minimum hourly wage is increasing by $ on the first day of the year for the years after January 1, .
Choice D
Choice D is incorrect. This function models a situation where the minimum hourly wage is increasing by $ on the first day of the year for the years after January 1, .