Answer:
s = 0.625t + 50.125
Step-by-step explanation:
Let the equation that represents the relation between the time of study and marks obtained is,
s = mt + b
Here 's' = marks scored by the students
m = marks obtained by the study per minute
t = duration of study
b = marks obtained without study
Slope of the line having points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through two points (35, 72) and (75, 97)
m = [tex]\frac{97-72}{75-35}[/tex]
m = [tex]\frac{25}{40}[/tex]
m = 0.625
Equation of the line will be,
y = 0.625t + b
Since this line passes through (35, 72),
72 = 0.625(35) + b
b = 72 - 21.875
b = 50.125
Therefore, equation representing duration of study and the score obtained will be,
s = 0.625t + 50.125
