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.(1 point)
Responses
3=600x
3 equals 600 x
y=600×3
y equals 600 times 3
y=6003
y equals Start Fraction 600 over 3 End Fraction
600=3x
600 equals 3 x.
600 = 3x
To write a direct variation equation, we need to determine the relationship between the number of miles traveled and the time taken, while considering the rate at which the jet is flying.
In a direct variation, two variables are directly proportional to each other. In this case, the number of miles traveled and the time taken are directly proportional, while the rate of 600 mph represents the constant of proportionality.
Let's use the variable y to represent the number of miles traveled and x to represent the time in hours. The equation can be written as:
y = kx
where k is the constant of proportionality. In this case, k can be found by substituting the given values into the equation:
600 = k * 3
Now solve for k:
k = 600 / 3
Simplifying, we get:
k = 200
Therefore, the direct variation equation to find the number of miles a jet travels in 3 hours when flying at a rate of 600 mph is:
y = 200x
Substituting x = 3, we can find the number of miles traveled:
y = 200 * 3
y = 600
So, the jet would travel 600 miles in 3 hours.