Question

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

Answer 1

From the given table, the points can be written as : (6,7.55) , (12,7.85), (18, 8.15) and (24, 8.45)

Slope $m=\frac{_{y2}-_{y1}}{_{x2}-_{x1}}$

m = $\frac{7.85-7.55}{12-6}$

m = 0.05

slope intercept form of line = $y=mx+c$

We plug m = 0.05, x = 6 and y = 7.55 and find c.

$7.55=0.05(6)+c$

c= 7.25

Required equation: $y=0.05x+7.25$ ... Answer