A Chemistry class has a linear relationship between course score (S) and course grade (G). A course score of 50 corresponds to a grade of 1.0, while a class score of 95 corresponds to a grade of 4.0. Find the linear relationship between S and G.

Respuesta :

The equation that modelled the relationship between S and G is as follows:

G = 1 / 15 S -  7 / 3

Linear relationship

A linear relationship is any relationship between two variables that is used to describe a straight-line relationship between the two variables. The equation is modelled as follows:

  • y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

(50, 1)(95, 4)

m = 4 - 1 / 95 - 50

m = 3 / 45

m = 1 / 15

Therefore,

1 = 1 / 15(50) + b

1 = 10 / 3 + b

b = 1 - 10 / 3

b =  3 - 10 / 3

b = - 7 / 3

Therefore,

G = 1 / 15S -  7 / 3

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