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:
- \( 3 = 600 \times t \) (where \( t = 3 \))
- To find the number of miles traveled, use \( Y = 600 \times 3 \) which results in \( Y = 1800 \).
- \( 600 = 3 \times r \) 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:
\[ d = 1800 , \text{miles} \]
1 answer