Question

an albatross is a large bird that can fly 400 kilometers in 8 hours ata constant speed.using d for distance in kilomeyers and t for the number of hours,an equation that represents this situation is d=50t.what are two constants of proportionally for the relationship between distance in kilometers and number of hours?what is the relationship between these two values?

Answer 1

Let the distance in kilometers be = d

Let the time in hours be = t

Distance traveled by albatross = 400 km

Time taken by albatross to cover 400 km = 8 hours

The given equation is :

d=50t

Here, 50 is the constant speed per hour at which the albatross is flying.\

speed =
`(distance)/(time)`

so, speed =
`(400)/(8)=50`

The direct relation formula y= kx reads as y is directly proportional to x. And k is the constants of proportionality.

Here in d=50t, y is taken by variable d and x is taken by variable t and 'k' is 50.

Hence, constant of proportionality is 50. this is the speed which stays constant.

The variables of proportion are 'd' and 't' and relation between them is that they are directly proportional to each other.

If distance increases, time increases and if distance deceases, time decreases.