Question

3. The grade a student earns on a test varies directly with the amount of time the student spends studying. Suppose a student spends 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.

Answer 1

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