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Write a 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.Question
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
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GPT 3.5
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.
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.
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