Below are two different functions, f (x) and g (x). What can be determined about their slopes?

f (x) Alex earns 1600 dollars in 400 hours.

x

g (x)

1

-8

5

12

9

32

F (x) = 1600/400 reduces to 4 ... the slope of f (x) is 4

g (x):

(1,-8) (5,12)

slope = (12 - (-8) / (5 - 1) = (12 + 8) / 4 = 20/4 = 5 ... slope of g (x) is 5

so g (x) has a greater slope then f (x)