Write an expression for G(x)

Question

In the United States many teachers grade tests on a scale of 1-100. In France it is common to grade tests on a scale of 1-20 (with 20 being the highest). Suppose G is a function that converts a grade x in the American system to a grade G(x) in the French system.

Answer 1

G(0)=0

G(100)=20

 

The slope is 20/100 = 1/5

 

G(x) = x/5

 

 

G(50) = 50/5 = 10 <--- halfway between 0 and 20, as is 50 halfway between 0 and 100