Melaka Trial 2025 Add Maths Paper 2, Question 11Linear Law

Use graph paper to answer this question. Table 1 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = r / d^(−√x), where r and d are constants.

(a) Based on Table 1, complete Table 1(b) in the answer space provided by finding √x and log₁₀ y.

Using Table 1(b) (√x and log₁₀ y):

(b) Plot log₁₀ y against √x, using a scale of 2 cm to 2 units on the √x-axis and 2 cm to 0.1 unit on the log₁₀ y-axis. Hence, draw the line of best fit.

Variables x and y are related by y = r / d^(−√x) (equivalently y = r · d^(√x)). Using your graph in 11(b):

(c)(i) Find the value of r.

Using your graph in 11(b):

(c)(ii) Find the value of d.