Answer:
Option A, 45 minutes.
Step-by-step explanation:
In the graph attached line of the best fit passes through two points (27, 14) and (36, 22).
These are the points which are not the scatter points but lying on the line.
Let the equation of the line be y = mx + c
Where m = slope and c = y-intercept.
Since slope m = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{22-14}{36-27}[/tex] = [tex]\frac{8}{9}[/tex] = 0.88
This line passes through another point on x-axis (11,0).
So equation passing through (11,0) will be
0 = (0. 88) × 11 + c
c = -9.68
Finally equation of the line will be
y = 0.88x - 9.68
Now we have to find the time at which scored 30 points.
By putting y = 30 in the equation
30 = 0.88x - 9.68
x = [tex]\frac{39.68}{0.88}[/tex] = 45
Option A is the answer.
