Question 1
The following table shows the corresponding values of two variables, x and y, that are related by the equation , where p and k are constants.
(a) Plot against . Hence, draw the line of best fit
The following table shows the corresponding values of two variables, x and y, that are related by the equation , where p and k are constants.
(a) Plot against . 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
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
