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?

Question

3=600×
y=600/3
Y=600×3
600=3×

Answer 1

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:

$$d=1800,\text{miles}$$