Question

Write a direct variation equation to find the number of miles a jet travels in 3 hrs if it is flying at a rate of 600 mph.

600 = 3x

3 = 600x

y = 600/3

y = 600 x 3

Answer 1

To find the number of miles a jet travels in a given amount of time when it is flying at a constant speed, we can use the direct variation equation of the form \( y = kx \), where:

- \( y \) is the distance traveled (in miles),
- \( k \) is the rate of speed (in miles per hour),
- \( x \) is the time (in hours).

In this case, the rate of speed \( k \) is 600 mph, and the time \( x \) is 3 hours.

The direct variation equation can be set up as:

\[ y = 600x \]

Now, we can substitute \( x = 3 \) hours into the equation to find \( y \):

\[ y = 600 \times 3 \]

\[ y = 1800 \]

Thus, the jet travels **1,800 miles** in 3 hours.