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

1 answer

Let x be the number of miles the jet travels in 3 hours.

Since the jet is traveling at a constant rate, the number of miles it travels is directly proportional to the time. Therefore, we can write a direct variation equation:

x = k * t

where k is the constant of variation and t is the time in hours.

We are given that the jet is flying at a rate of 600 mph, which means it travels 600 miles in 1 hour. Therefore, we can set up the equation as:

600 = k * 1

Solving for k:

k = 600

Substituting the value of k into the equation:

x = 600 * 3

x = 1800

Therefore, the direct variation equation to find the number of miles the jet travels in 3 hours if it is flying at a rate of 600 mph is:

x = 1800 miles.