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
y=600×3
3=600x
600=3x
y=600/3
y=600(3)
The correct 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 = 600 × 3
To write a direct variation equation, we need to establish the relationship between the two variables involved and express it in equation form. In this case, we are trying to find the number of miles a jet travels in 3 hours based on its rate of 600 mph.
In direct variation, the equation is of the form y = kx, where y represents the dependent variable, x represents the independent variable, and k is the constant of variation.
Here, the dependent variable is the number of miles the jet travels (y), and the independent variable is the time in hours (x). The rate of 600 mph represents the constant of variation (k).
So, our direct variation equation will be:
y = kx
Substituting the given values, we get:
y = 600x
To find the number of miles the jet travels in 3 hours, we plug in x = 3 into the equation:
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 = 600x, and the number of miles in this case is 1800 miles.