Miguel created the ratio table below to show how he uses the money he earns at work. miguel’s money money earned money saved $10.00 $7.50 $50.00 $37.50 $120.00 ? $150.00 $112.50

Let 
x > Money Earned
y > Money Saved
r > ratio Money Saved/Money Earned
r=y/x

we have
A (10,7.5)  B (50,37.5) C (120,yC) D (150,112.5)

rA=7.5/10=0.75
rB=37.5/50=0.75
rD=112.5/150=0.75

0.75 means that Miguel saves the 75% of the money he earns at work 

rC=yC/120=0.75 > yC=0.75*120=90

the answer is $90

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.