Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
Plug in the points and see if y and x are equal to each other.
(2,3)
y= x-1
3= 2-1
3= 1 (not the solution)
y=3x
3=3*3
3=9 (not the solution)
y=x+1
3=2+1
3=3 (solution) We can check to make sure.
y=-3x
3=-3*3
3=-9 (not the solution)
y=x+1 <em>is the answer.
</em>
I hope this helps!
~kaikers
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