Question

An albatross is a large bird that can fly 600 kilometers in 15 hours at a constant speed. Using LaTeX: dd for distance in kilometers and LaTeX: tt for number of hours, an equation that represents this situation is LaTeX: d=40td = 40 t . What are two constants of proportionality for the relationship between distance in kilometers and number of hours?

Answer 1

The constant is 40

Explanation:

According to the question we are given an equation that represents the given situation as d = 40t where;

d is the distance in km

t is the time in seconds.

The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;

p = kq (p and q are the variables)

A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t

Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.