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
A 3=600x
B y=6003
C 600=3x
D y=600×3
C 600=3x
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
To write a direct variation equation, we need to identify the two variables that are directly proportional to each other. In this case, the number of miles traveled and the time in hours are the variables.
Let's denote the number of miles traveled by y and the time in hours by x. According to the problem, the jet is flying at a rate of 600 mph, which means the speed remains constant regardless of time.
Since the speed (600 mph) is constant, we can say that it is directly proportional to the number of miles traveled. Therefore, we can write the direct variation equation as:
y = kx
To find the value of k, we can use the given information that the jet travels 600 miles in 1 hour. Substitute this into the equation:
600 = k * 1
Solving for k, we find that k = 600.
Now we have the direct variation equation:
y = 600x
To find the number of miles the jet travels in 3 hours (x = 3), we can substitute the value of x into the equation:
y = 600 * 3
Simplifying this, we find that the jet travels 1800 miles in 3 hours.
Therefore, 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:
A) 3 = 600x