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. Research on the Internet, if needed.

Answer 1

d = st

d = distance

s = speed

t = time

Of the three quantities the constant of proportionality is the speed.

At any given time and distance the speed remains constant.

We can write this in different forms as follows.

d = st

S = d/t

t = d/s

Other proportional relationships are.

1) V/I = R

Where v = voltage

I = the current

R = The resistance

We use this relationship to calculate resistance of devices.

Answer 2

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