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Power of <strong>Maths</strong>: Paper 1 – Section 1<br />

Activity 13: Understanding direct<br />

proportion<br />

OBJECTIVE: To draw a graph from a table of results and to answer questions that involve direct<br />

proportionality<br />

1. p, q, r, s are four straight lines through the origin. Complete the table below.<br />

y<br />

m = 3<br />

p<br />

q<br />

r<br />

s<br />

m = 2<br />

m = 1<br />

1<br />

m = –<br />

2<br />

x<br />

The equation of<br />

the line is<br />

The constant of<br />

proportionality is<br />

Fill in the words<br />

y is<br />

p q r s<br />

to x<br />

y is<br />

Fill in the symbol y x y x y x y x<br />

to x<br />

y is<br />

to x<br />

y is<br />

to x<br />

2. Write down a formula connecting the independent variable and the dependent variable in each of the<br />

following graphs:<br />

(a) P<br />

(b) Q<br />

Slope = 2·5<br />

Slope = 3 × 10 −6<br />

h<br />

V<br />

Formula:<br />

Formula:<br />

16

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