The fastest insect in the world is the dragonfly with an average cruising speed of 4.5 metres per second. Write an equation with two variables describing the relationship between the time taken and the distance travelled. If a dragonfly flies for 3 hours how far can she travel?

distance = speed * time

d = 4.5 m/s * t
d is meters
t is seconds

3 hours * 60 min/h * 60 s/min
= 3 * 3600 = 10,800 seconds
so
d = 4.5 m/s * 10,800 s = 48,600 meters
which is 48.6 km

WOW! That is one fast fly.

Thank you so much ^^

You are welcome :)

To write an equation with two variables describing the relationship between time taken and distance traveled, we can use the formula:

Distance = Speed × Time

Let's call the distance traveled "d" and the time taken "t". We know that the dragonfly's average cruising speed is 4.5 meters per second.

Therefore, the equation becomes:

d = 4.5t

Now, if the dragonfly flies for 3 hours, we can substitute 3 for "t" in the equation and solve for "d":

d = 4.5 × 3
d = 13.5

So, if the dragonfly flies for 3 hours, she can travel a distance of 13.5 meters.