Respuesta :
I am continuously trying to answer but it says my answer has something inappropriate! I will try in comments section!
Answer:
Position of the bicyclists is 5.8 km.
Step-by-step explanation:
Let the equation of a linear function representing this situation is d = mt + c
Where m = slope of the line representing the function or rate of change in distance
Now rate of change of distance of velocity of the bicyclists m = [tex]\frac{2}{5}=0.40[/tex] km per minutes
when we plot distance and time at x and y axis
At time t = 0 distance traveled by the bicyclist = 0
At time t = 6 minutes distance traveled d = 5 km
So at this point coordinates of the bicyclist will be (6, 5).
Similarly at t = 8 minutes coordinates will be (8, y)
Now we know slope m = [tex]\frac{y-y'}{x-x'}[/tex]
Now we plug in the values in the formula of slope.
[tex]\frac{2}{5}=\frac{y-5}{8-6}[/tex]
2×2 = 5(y - 5)
4 = 5y - 25
5y = 4 + 25 = 29
y = [tex]\frac{29}{5}=5.8[/tex] km
Therefore, at t = 8 minutes position of the bicyclist is 5.8 km.
