Page 10 - Grab Me SPM Add Mathematics Form 4,5

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Solution (c) uv = pu + qv
v
v = p + q
(a) v 1.00 0.67 0.50 u
u p = v-intercept and q = gradient
v 20.0 16.7 15.0 Therefore, p = c = 10 and q = 20 – 10 = 10
1.0 – 0
v 0.40 0.33 0.28 Example 10
u
v 14.0 13.3 12.8 The table below shows the values of two variables
x and y obtained from an experiment.
(b) v v x 1 2 3 4 5 6
Graph of v against – u

20.0 y 36.0 16.7 7.29 3.28 1.48 0.67
Given that x and y are related by the equation
18.0 ©PAN ASIA PUBLICATIONS
y = ab x – 1 , where p and q are constants.
16.0 (a) Convert y = ab x – 1 to the linear form.
(b) Using a scale of 2 cm to 1 unit on the X-axis and
14.0
2 cm to 0.2 unit on the Y-axis, plot Y against X.
12.0 Hence, draw the line of best fit.
(c) From the graph in (b), find
10.0 (i) the values of a and b,
v
8.0 – u (ii) the value of y when x = 5.5.
0 0.2 0.4 0.6 0.8 1.0 1.2 (d) Find the value of y when x = 7 and the value
of x when y = 0.7.

Ch 6_Grab Me SPM AddMaths F4.indd 70 13/05/2022 9:02 AM