D1 January 2010 Q5

EdexcelOld spec7 marksAlgorithms

5.

Figure 4: flowchart. Start; Input S; T = 0; R = S – 8000; R > 0? No to Output T; Yes: T = 0.2R; R = R – 10 000; R > 0? No to Output T; Yes: T = T + 0.15R; R = R – 12 000; R > 0? No to Output T; Yes: T = T + 0.1R; Output T; End
Figure 4

An algorithm is described by the flowchart shown in Figure 4.

(a) Given that S = 25 000, complete the table in the answer book to show the results obtained at each step when the algorithm is applied. (5)

This algorithm is designed to model a possible system of income tax, T, on an annual salary, £S.

(b) Write down the amount of income tax paid by a person with an annual salary of £25 000. (1)
(c) Find the maximum annual salary of a person who pays no tax. (1)
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