2.6.1 SPM practice 3 (Linear Law) – Question 1

Question 1
The following table shows the corresponding values of two variables, x and y, that are related by the equation y = p k x , where p and k are constants.


(a) Plot log 10 y against x  .  Hence, draw the line of best fit

(b) Use your graph in (a) to find the values of p and k.


Solution
Step 1 : Construct a table consisting X and Y.



Step 2 : Plot a graph of Y against X, using the scale given and draw a line of best fit

For steps to draw line of best fit – Click here



Step 3 : Calculate the gradient, m, and the Y-intercept, c, from the graph


Step 4 : Rewrite the original equation given and reduce it to linear form


Step 5
:
Compare with the values of m and c obtained, find the values of the unknown required

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