PAKEJ PERCUTIAN BULAN MAC MATEMATIK TAMBAHAN TINGKATAN 5 2013

LINEAR LAW

Application of Linear Law to Non-linear Functions

Follow these steps:1. Construct a tabulate data.2. Convert the non-linear form to a linear form Y=mX+C, where m is the

gradient of the straight line and c is the Y-intercept.3. Use the graph paper and construct the axes using the scale given.4. Plot the points on the graph.5. Draw the lines of best fit.6. Calculate the values of m and c (or corresponding values) from the

graph.

Remember:Line of Best Fit is a straight line that passes through most of the points

which areplotted. At least 3 points are on the best fit line.

Examples of the lines of best fit:

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ANSWER ALL THE QUESTIONS

Use graph paper to answer this question. 1 Table 1 shows the values of two variables, x and y, obtained from an

experiment. The variables x and y are related by the equation

where p and q are constants.

x 42.50 38.50 32.01 25.50 13.00 7.98y 1.40 1.60 2.00 2.50 3.80 4.50

(a) Plot against x, by using a scale of 2 cm to 5 units on the x-axis and 2 cm to 0.1 unit on the y-axis. Hence, draw the line of best fit.

[5 marks] (b) Use the graph from (a) to find the value of (i) p,

(ii) q,

(iii) y when x = 15.5 [5 marks]

2 Table 2 shows the experimental values of two variables, x and y. The

variables x and y are related by the equation , where p and r

are constants.

x 1.0 2.0 3.0 4.0 5.0 6.0y 5.9 4.2 4.3 4.7 5.3 5.9

Table 2(a) Plot against , by using a scale of 2 cm to 5 units on both

axes. Hence, draw the line of best fit.

[5 marks]

(b) Use the graph from (a) , to find the value ofi. pii. riii. y when x= 1.5. [5 marks]

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TABLE 1