Part iii: bailey works part-time at a movie theater. the theater pays employees an hourly wage based on their length of employment. write an algebraic expression that describes how much bailey’s employer pays part-time workers.

length of employment (months) hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45

Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

Length of employment (months)         Hourly wage (dollars/hour)
6 months                                                          7.55
12 months                                                        7.85
18 months                                                        8.15
24 months                                                        8.45

To obtain an algebraic expression that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
and
is given by


Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by


Therefore, the algebraic expression that describes how much Bailey’s employer pays part-time workers is

One that half its volume