Write a direct variation equation to find the number of miles a jet travel in 3 hours if it is flying at a rate of 600mph
Let the number of miles the jet travels in 3 hours be represented by y.
Since the distance traveled is directly proportional to the time spent, we can write a direct variation equation as:
y = k * t
Where y is the distance traveled in 3 hours, t is the time spent in hours, and k is the constant of variation.
In this case, the jet is flying at a rate of 600 mph, which means it covers 600 miles in 1 hour. So, the constant of variation is 600.
Substitute the given values into the equation:
y = 600 * 3
Simplify the equation:
y = 1800
Therefore, the number of miles the jet travels in 3 hours is 1800 miles.
To find the direct variation equation for the number of miles a jet travels in 3 hours, we can consider the rate at which it is flying.
In this case, the jet is flying at a rate of 600 mph.
Let's assume "x" represents the number of miles the jet travels in 3 hours. So we can set up a direct variation equation as follows:
x = k * t
In this equation, "k" represents the constant of variation, and "t" represents the time in hours. Since the jet is flying at a rate of 600 mph, we know that the number of miles traveled is directly proportional to time. Therefore, "k" will be 600.
So, the direct variation equation can be written as:
x = 600 * t
To find the number of miles the jet travels in 3 hours, we can substitute 3 for "t" in the equation:
x = 600 * 3
x = 1800
Therefore, the jet will travel 1800 miles in 3 hours.
To write a direct variation equation to find the number of miles a jet travels in 3 hours, we need to consider the relationship between the speed of the jet and the time it takes to travel a certain distance.
In direct variation, when one variable increases or decreases, the other variable also increases or decreases in proportion. In this case, as the number of hours increases, the number of miles traveled also increases, assuming a constant speed.
Let's assign the variables:
- Let "m" represent the number of miles the jet travels.
- Let "h" represent the number of hours the jet flies.
Based on the given information, we know that the jet is flying at a rate of 600 mph. Thus, we can say that the speed (600 mph) is directly proportional to the number of miles traveled (m) and the number of hours flown (h).
Therefore, we can write the direct variation equation as:
m = k * h
Where "k" represents the constant of proportionality.
To find the value of "k," we can plug in the given information that the jet is flying at a rate of 600 mph for 3 hours:
600 (rate) = k * 3 (hours)
Now, we can solve for "k":
600 = 3k
k = 600 / 3
k = 200
Now that we have the value of "k," we can rewrite the direct variation equation as:
m = 200 * h
To find the number of miles the jet travels in 3 hours, we can substitute 3 for "h" in our equation:
m = 200 * 3
m = 600
Therefore, the direct variation equation to find the number of miles a jet travels in 3 hours, given it is flying at a rate of 600 mph, is m = 200 * h, where "m" represents the number of miles and "h" represents the number of hours.