Question

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

Answer 1

Answer:

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).Sep 12, 2018

Step-by-step explanation:

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Answer 2

In the equation d = st or we can say  s=d/t, where s = speed, distance and, t=time, it is defined as the speed of the object (s) covering distance units per time. SI unit m/s or metre/second.

Other equations that represent proportional relationships in the real world include:

• The equation F = ma,

       Where, F=force

       M= mass

       A= acceleration

  This equation helps in understanding the amount of force applied on an object if we know its acceleration and mass.

      e.g:- In daily life, we can observe pushing a car.

• The equation P = IV,

       Where, p= power

       I= current

       V= voltage

       In daily life, it is used to calculate the power consumption by consumers.

• v= D/t

where v= velocity

          D=displacementt

          t= time

This equation provides the direction of a moving object as it is a vector quantity. SI unit of velocity is m/s same as speed but speed is a scalar quantity.

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