Proportional Relationships (Edexcel A-Level Mathematics): Flashcards

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Proportional Relationships
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What is a proportional relationship in maths?

It maintains a constant ratio between two quantities.

How is direct proportionality expressed mathematically?

y=kxy = kx, where kk is the constant of proportionality.

What does the ratio y/x=ky/x = k indicate?

It remains constant for all pairs of xx and yy values.

What is the graphical representation of proportionality?

A straight line through the origin (0,0)(0,0).

What does the slope of a graph represent in proportion?

It represents the constant of proportionality kk.

If 4 apples cost £2, what is the cost of 8 apples?

It would cost £4, maintaining the same ratio.

How is speed related to distance in a proportional relationship?

Speed is proportional to distance if time is constant.

What is the first step in solving proportional problems?

Calculate the constant of proportionality kk.

What to check to confirm proportionality on a graph?

Ensure the graph is a straight line through the origin.

Find kk when y=10y=10 and x=2x=2 in direct proportion.

k=y/x=10/2=5k = y/x = 10/2 = 5.

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