204 H. S. CARSLAW. 
which we shall speak later—adopt the fairer system, in one 
form or another.* 
§ 2. It is instructive to note the graphical representation 
of the sliding scales described above. 
Let the income be £x and the amount of the tax T pence. 
Also let do, ad), ds, etc., be the rates up to £%, and on the 
parts between £x% and £x,, £x, and Lx, etc. The rela- 
tion between T and x, is shown by the continuous line in 
Jhss ib Fig. 1. 
q 
Amount of Tax in pence . 
Taxable Income in pounds. 
On the other hand the relation between T and x, when 
these rates are charged on the whole income instead of on 
+ Income Tax on earned income in New South Wales is computed as 
follows :— 
On the first £700, the rate is 8d. per &. 
On the next £1000, the rate is 9d. per £. 
On the next £1000, the rate is 10d. per &. 
On the next £2000, the rate is 11d. per £. 
On the next £2000, the rate is 1s. Od. per £. 
On the next £3000. the rate is 1s. ld. per &. 
Every pound over £9700 pays Is. 2d. 
Also there is a supertax of 3d. per &. 
