SPM Practice 2 (Question 1 – 3)

Question 1:
Reduce non-linear relation, $y=p{x}^{n-1}$, where k and n are constants, to linear equation.  State the gradient and vertical intercept for the linear equation obtained.
[Note : Reduce No-linear function to linear function]

Solution:

 

Question 2:
The diagram shows a line of best fit by plotting a graph of  $y^2$against $\sqrt{x}$.

1. Find the equation of the line of best fit.
2. Determine the value of
   1. x when y = 4,
   2. y when x = 25.

 

Question 3:
The diagram shows part of the straight line graph obtained by plotting$\sqrt{y}$ against $x^2$.

Express y in terms of x.

Solution: