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 600mph.
A. Y=600×3
B. 600=3x
C. Y=600/3
D. 3=600x
A. Y=600×3
To find the direct variation equation, we need to understand that in direct variation, the two variables (in this case, the number of miles and the number of hours) are directly proportional to each other.
In this case, we are given that the jet is flying at a rate of 600 mph and we want to find the number of miles it travels in 3 hours.
Let's use the variable x to represent the number of hours and y to represent the number of miles.
Since we know that the jet is flying at a rate of 600 mph, we can say that the number of miles, y, is directly proportional to the number of hours, x.
To find the direct variation equation, we can set up a proportion using the given information:
600 miles / 1 hour = y miles / 3 hours
Simplifying the proportion, we get:
600/1 = y/3
So the direct variation equation is:
600 = 3y
Thus, the correct answer is B. 600 = 3x.