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.
A. 600=3x
B. 3=600x
C. y=600/3
D. y=600×3
D. 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:
D. y = 600 × 3
In a direct variation equation, two variables are directly proportional to each other. To find the equation to determine the number of miles a jet travels in 3 hours at a rate of 600 mph, we need to consider the relationship between time and distance.
Let "x" represent the number of hours, and "y" represent the number of miles the jet travels. Since the rate of the jet is given as 600 mph, we know that for every 1 hour (x=1), the jet will travel 600 miles (y=600).
In a direct variation equation, we can express this relationship as:
y = kx
where "k" is the constant of variation. To find the specific equation, we need to determine the value of "k".
We can do this by substituting the given information into the equation:
600 = k * 1
Simplifying, we find that k = 600.
Now, we can write the final direct variation equation:
y = 600x
The correct answer is A. 600=3x.