A direct variation equation to find the number of miles travels in three hours, if it is flying at a rate of 600 mph
A.y=600 x3
B.3=600x
C.y=600/3
D.600=3x
D.600=3x
In a direct variation equation, the variables are directly proportional to each other. In this case, the speed is directly proportional to the time traveled. The general form of a direct variation equation is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation.
In this specific case, the speed (600 mph) is directly proportional to the time traveled (x hours). Therefore, the direct variation equation would be 600 = 3x, since the speed of 600 mph is traveled in 3 hours.
The correct answer for the direct variation equation to find the number of miles traveled in three hours, if it is flying at a rate of 600 mph is:
D. 600=3x
The correct answer is A. y = 600x.
To understand why, let's break down the problem:
We need to find the number of miles traveled, which we'll call "y". The rate at which it is flying is 600 mph, and the time is 3 hours.
In a direct variation equation, the variables are directly proportional to each other. This means that y (the number of miles traveled) is directly proportional to x (the time in hours) when flying at a constant rate of 600 mph.
In order to express this relationship in equation form, we use the formula:
y = kx
Here, "k" represents the constant of variation. In this case, the constant of variation is 600, since the rate stays constant at 600 mph.
So, the equation would be:
y = 600x
By plugging in the given time of 3 hours, we can find the number of miles traveled:
y = 600(3)
y = 1800
Therefore, the correct equation is y = 600x, which is option A.