The time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h

Inverse variation means y=k/x (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6 (900)

k=5400 so the equation is:

y=5400/x or more accurately for this problem

t (v) = 5400/v then:

t (800) = 5400/800

t (800) = 6.75 hours