Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying a rate of 600 mph
Let "m" represent the number of miles the jet travels in 3 hours.
Since the rate at which the jet is flying is directly proportional to the distance it travels, we can write the equation as:
m = 600 mph * 3 hours
Simplifying this equation, we get:
m = 1800 miles
Therefore, the direct variation equation to find the number of miles the jet travels in 3 hours, given it is flying at a rate of 600 mph, is m = 1800.
To write a direct variation equation, we need to establish the relationship between the two variables: miles traveled and time taken.
In this case, we are given that the jet is flying at a constant rate of 600 mph. So, we can say that the number of miles traveled is directly proportional to the time taken.
Let's assign "m" as the number of miles traveled and "t" as the time taken in hours. The equation can be written as:
m = k * t
Where "k" is the constant of variation that relates both variables.
To find the value of "k," we can use the given information that the jet is flying at a rate of 600 mph. Since "m" represents miles and "t" represents hours, we can substitute these values into the equation:
m = 600 * t
Now, we can solve for "k" by rearranging the equation:
k = m / t
Substituting the given values into the equation:
k = 600 / t
Now we have the direct variation equation for the number of miles a jet travels:
m = (600 / t) * t
Simplifying further:
m = 600
So, the direct variation equation to find the number of miles a jet travels in 3 hours at a rate of 600 mph is:
m = 600 * 3
m = 1800 miles.
To write a direct variation equation, we can use the formula:
y = kx
where y represents the miles traveled, x represents the time (in hours), and k is the constant of variation.
In this case, we know that the jet is flying at a rate of 600 mph. This means that in 1 hour (x = 1), the jet travels 600 miles (y = 600). Therefore, we can substitute these values into the equation to solve for k:
600 = k * 1
k = 600
Now, we can substitute k into the equation to find the number of miles the jet travels in 3 hours (x = 3):
y = 600x
y = 600 * 3
y = 1800
Therefore, the direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph is y = 1800.