3. The grade a student earns on a test varies directly with the amount of time the student spends studying. Suppose a student sp
ends 6.5 hours studying and makes a grade of 84% on the test. What is an equation that relates the grade earned on a test, g, with the amount of time spent studying, t, in hours? What is the garish of your equation.
For this case we observe that the time varies linearly with the obtained qualification. The equation of the line can be obtained as follows g-go = m (t-to) where (go, to) are points that belong to the line. To form the equation you need two points. These points are (g1, t1) = (0,0) (g2, t2) = (6.5.84) Then, substituting, the equation of the line is m = (84-0) / (6.5-0) = 84 / 6.5 = 12.923 g-0 = (12,923) * (t-0) Rewriting. g = 12.923t The slope of the line is m = 12,923
