Question 303656: If you are traveling at a constant speed, the distance you travel is directly proportional to your travel time. Suppose you walk 3 miles in 1 1/2 hours. How far would you walk in 1 hour? How long would it take to walk 5 miles?
I know the equation is y=kx
Answer by graphmatics(170)   (Show Source):
You can put this solution on YOUR website! You are correct. Your expression y=kx is the same as the problem sentence, "If you are traveling at a constant speed, the distance you travel is directly proportional to your travel time". Now the question is what are the variables y,k, and x. A closer look to this sentence show y is the distance traveled, k is the speed and x is the time. Because you walked 3 miles (distance) in 1.5 hours it must be true that:
3 = k*(1.5)
So
k = 3/1.5 = 2
So the equation is the same as:
y = 2x
if x, the time, is 1 hour then we substitude x = 1 to get the distance y:
y = 2*(1) = 2
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