SPM Practice 3 (Linear Law) – Question 5

Question 5
The following table shows the corresponding values of two variables, x and y, that are related by the equation $y=p{k}^{\sqrt{x}}$ , where p and k are constants.


(a) Plot ${\log }_{10}y$ against $\sqrt{x}$  .  Hence, draw the line of best fit

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