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?

To find the number of miles a jet travels in 3 hours when it is flying at a constant speed of 600 miles per hour (mph), you can use the direct variation equation:

\[
d = rt
\]

where
- \( d \) is the distance traveled,
- \( r \) is the rate of speed,
- \( t \) is the time.

In this case:
- \( r = 600 \, \text{mph} \)
- \( t = 3 \, \text{hours} \)

Substituting these values into the equation:

\[
d = 600 \times 3
\]

Calculating that gives:

\[
d = 1800 \, \text{miles}
\]

So, the distance traveled by the jet in 3 hours is 1800 miles.

If you wanted to express it in the context of your equations:

1. \( 3 = 600 \times t \) (where \( t = 3 \))
2. To find the number of miles traveled, use \( Y = 600 \times 3 \) which results in \( Y = 1800 \).
3. \( 600 = 3 \times r \) is not the correct representation in this context, as it would imply finding the rate instead.

Thus, the direct variation equation used is \( d = rt \), and the final answer is:

\[
d = 1800 \, \text{miles}
\]