The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation. Then describe some other equations that represent proportional relationships in the real world and explain why they're useful. Research on the Internet, if needed.

Step-by-step explanation:

y=kx is a proportional relationship between y and x where k is the constant of proptionalty

d = st

Where,

d = distance

s = speed

t = time

Of the quantities d, s and t, the constant of proportionality is the speed(s).

At a given time and distance, speed(s) is the constant of proportionalty.

Different ways of describing the constant of proportionalty for the equation includes:

d = st

S = d/t

Speed=distance/time

t = d/s

Time=distance/speed

Some other equations that represent proportional relationships in the real world are:

Calculation of force of a body:

F=ma

Where,

F= Force

m= Mass

a= Acceleration

Calculation of resistance:

V/I = R

Where,

v = voltage

I = current

R = resistance