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 600=3x 600 equals 3 x y=600×3 y equals 600 times 3 3=600x 3 equals 600 x y=6003
The correct response is: y = 600x.
To write a direct variation equation, we need to determine the relationship between the two variables: miles traveled (y) and time (x). In this case, the rate at which the jet is flying is given as 600 mph, so we can say that y and x are directly proportional to each other.
The equation can be written as:
y = kx
To find the value of k, we can plug in the given values of y = 600 and x = 3:
600 = k * 3
Simplifying:
600 = 3k
Divide both sides by 3 to solve for k:
k = 200
Therefore, the direct variation equation to find the number of miles a jet travels in 3 hours at a rate of 600 mph is:
y = 200x
To write a direct variation equation, we need to identify the variables involved and their relationship. In this case, the number of miles traveled (y) is directly proportional to the number of hours flown (x).
Given that the jet is flying at a rate of 600 mph, we can set up the equation as follows:
y = kx
Since we know that the jet travels 600 miles in 1 hour, we can substitute these values into the equation to solve for the constant of variation, k:
600 = k * 1
k = 600
Now that we have the value for k, we can rewrite the equation:
y = 600x
To find the number of miles the jet travels in 3 hours, plug in the value of x = 3 into the equation:
y = 600 * 3
y = 1800
Therefore, the jet would travel 1800 miles in 3 hours.