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 represents a proportional relationship between x and y

where,

k is the constant of proportionality

Given:

d = st

Where,

d = distance

s = speed

t = time

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

Speed(s) remains constant at a given time and distance

The equation can be written in different forms below:

d = st

S = d/t

t = d/s

Real world example of proportional relationships

• F=ma

Where,

F=Force

m=mass

a=acceleration

F=ma is used to calculate force

You can define the constant of proportionality by multiplying in my equation. You can multiply s and t and that gives you what d is. In a real world relation ship you can have p which is pay and c which is the amount of cash and h for hours If If the the pay is 60 and the hours is three and the amount of cash is 20 that means that you can multiply c and h to get p.

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