The scatterplot shows the ages and finishing times of seven men who ran a charity 5k run. use the labeled points to create a linear model that predicts the race time (y) of a man of any age (x). which equation represents this linear model? a. y=0.47+ 7.72 b. y=0.47+29.15 c.2.146x-27.57 d.2.14x-2.07

The correct option is (a) y=0.47x+ 7.72

Explanation:
The two points given are:
(21, 17.5) and (43, 27.75)

First you need to find the slope:
Slope = (27.75-17.5)/(43-21) = 0.466

Now equation of line passing through the point (21, 17.5) and having slope 0.466 is:

y - 17.5 = 0.466(x - 21)
y - 17.5 = 0.466x - 9.78
y = 0.47x + 7.72