Cambridge Additional Mathematics

Straight line graphs (Chapter 7) 195

2 This table shows experimental data values forxandy:

x 1 2 3 4

y 9 9 : 90 10 : 97 12

a Copy and complete the following table:

x

y

p

x

b Plot y

p

x againstx, and draw a straight line through the points.

c Findyin terms ofx.

d Findywhen x=16.

3 This table shows experimental values forxandy. x^1234

y ¡ 1 0 0 : 11 0 : 12

It is known thatxandyare related by the equation y=

a

x

+

b

x^2

, whereaandbare constants.

a Copy and complete the following table:

1

x

xy

b Plotxyagainst

1

x

, and draw a straight line through the points.

c Hence findaandb.

d

4 This table shows values ofxandy: x^2468

y 5 : 24 5 5 : 45 6 : 12

a Copy and complete the following table: x

p

x

y

p

x

b Plot y

p

x against x

p

x, and draw a straight line through the points.

c Findyin terms ofx. d Findywhen x=9.

5 The mass of bacteria in a culture is measured each day for 5 days.

t(days) 1 2 3 4 5

M(grams) 3 : 98 6 : 31 10 15 : 85 25 : 12

a Copy and complete the following table:

b Plot lgM againstt, and draw a straight line through the points.

c FindMin terms oft.

d Find the original mass of the bacteria.

~`x is only defined

forx> 0.

This experiment

starts att=0days.

Qvis not defined

whenx=0.

Findywhen x=10.

t

lgM

4037 Cambridge

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Y:\HAESE\CAM4037\CamAdd_07\195CamAdd_07.cdr Tuesday, 21 January 2014 12:16:32 PM BRIAN