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 equation is:
y = 600 × 3
The correct direct variation equation to find the number of miles a jet travels in 3 hours is:
y = kx
where y represents the number of miles the jet travels and x represents the number of hours it flies.
In this case, we are given that the jet is flying at a rate of 600 mph. So, when the jet flies for 1 hour (x=1), it covers 600 miles (y=600). This information allows us to find the value of the constant k.
By substituting the values into the equation, we have:
600 = k*1
Simplifying, we find that k = 600.
Now, we can use the equation to find the number of miles the jet will travel in 3 hours (x=3):
y = 600 * 3
y = 1800
Therefore, the jet will travel 1800 miles in 3 hours.