Direct variation

An airplane is traveling at a constant rate of 450 mi/h. Write an equation that shows how far the plane travels (D) in h hours.

D = V * h = 450 h

V is the speed, 450 miles/hour

To write an equation that shows how far the plane travels (D) in h hours, we can use the concept of direct variation. Direct variation means that when one variable (in this case, time) increases or decreases, the other variable (distance) also increases or decreases proportionally.

The general equation for direct variation is D = k * h, where D represents the distance traveled, h represents the number of hours, and k (the constant of variation) represents the rate at which distance changes per hour.

In this specific case, we are given that the airplane is traveling at a constant rate of 450 mi/h. Therefore, the constant of variation for this scenario would be 450, denoted as V.

Substituting the values into the equation, we get D = 450 * h, which can be simplified to D = 450h.

So, the equation that shows how far the plane travels (D) in h hours is D = 450h.