Additional Mathematics 4037: Straight-line graphs Topical Past Paper Questions

Two variables, x and y, are related by an equation of the form $ y = Ax^{b} $, where A and b are constants. The following pairs of values of x and y are given. (a) On the axes below, use these values to draw the straight-line graph of $ \ln y $ against $ \ln x $. [2] [2]

An experiment was carried out and values of $y$ for certain values of $x$ were recorded. The table shows the values recorded. The relationship between y and x is modelled by $ y = A e^{kx} $, where A and k are constants. (a) Draw a straight line graph for $ \ln y $ against x. [2]…

(a) A straight line passes through the points (4, 23) and (-8, 29). Find the point of intersection, P, of this line with the line $ y = 2x + 5 $. [5] (b) Find the distance of P from the origin. [2]