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# Logs watch

1. Need help with this please7.
It is believed that two quantities, x and y, are connected by a relationship of the form n y = kx , where k and n are constants.
In an experiment, the following data were produced.
x 5 10 15 20 25 30 35
y 9 24 48 69 102 131 166
(i) Explain how the form of the relationship can be tested by plotting log
y against log x. [2]
(ii) Make out a table of values of log x and log y and plot the graph. [3]
(iii) Use your graph to estimate the values of k and n. [3]

Why not try posting in a specific subject forum- you might have more luck there.

Here's a link to our subject forum which should help get you more responses.

3. That is some hard ****.
4. Moved to maths.

5. You ahould be familiar with plotting a scattergraph, drawing a line of best fit to match the data and deriving its equation. (y = mx + c)

If you plot this experimental data on a scattergraph you may be able to spot a nonlinear relationship (such as a curve). But deriving the relationship of such a curve will be tricky.

By taking the logs of each variable and plotting logx against logy this will turn an exponential relationship into a linear one on a graph.

By deriving a line of best fit here and expressing it as "logy = mlogx + c" you should be able to determine the relationship.

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Updated: February 14, 2016
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