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Question Number 53709 by pieroo last updated on 25/Jan/19

A supermarket pays its sales personnel  on a weekly basis. At the end of each week,  each sales person receives a basic   weekly wage plus bonus, which varies  directly as the number of complete  weeks that particular person has   worked in the shop. At the end of her  fourth week a sales girl received a pay  packet containing $2060. Six weeks  later her pay had jumped to $2150.   Find the exact relation for determining  how much the shop′s personnel are   paid every week.

$$\mathrm{A}\:\mathrm{supermarket}\:\mathrm{pays}\:\mathrm{its}\:\mathrm{sales}\:\mathrm{personnel} \\ $$$$\mathrm{on}\:\mathrm{a}\:\mathrm{weekly}\:\mathrm{basis}.\:\mathrm{At}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{each}\:\mathrm{week}, \\ $$$$\mathrm{each}\:\mathrm{sales}\:\mathrm{person}\:\mathrm{receives}\:\mathrm{a}\:\mathrm{basic}\: \\ $$$$\mathrm{weekly}\:\mathrm{wage}\:\mathrm{plus}\:\mathrm{bonus},\:\mathrm{which}\:\mathrm{varies} \\ $$$$\mathrm{directly}\:\mathrm{as}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{complete} \\ $$$$\mathrm{weeks}\:\mathrm{that}\:\mathrm{particular}\:\mathrm{person}\:\mathrm{has}\: \\ $$$$\mathrm{worked}\:\mathrm{in}\:\mathrm{the}\:\mathrm{shop}.\:\mathrm{At}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{her} \\ $$$$\mathrm{fourth}\:\mathrm{week}\:\mathrm{a}\:\mathrm{sales}\:\mathrm{girl}\:\mathrm{received}\:\mathrm{a}\:\mathrm{pay} \\ $$$$\mathrm{packet}\:\mathrm{containing}\:\$\mathrm{2060}.\:\mathrm{Six}\:\mathrm{weeks} \\ $$$$\mathrm{later}\:\mathrm{her}\:\mathrm{pay}\:\mathrm{had}\:\mathrm{jumped}\:\mathrm{to}\:\$\mathrm{2150}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{exact}\:\mathrm{relation}\:\mathrm{for}\:\mathrm{determining} \\ $$$$\mathrm{how}\:\mathrm{much}\:\mathrm{the}\:\mathrm{shop}'\mathrm{s}\:\mathrm{personnel}\:\mathrm{are}\: \\ $$$$\mathrm{paid}\:\mathrm{every}\:\mathrm{week}. \\ $$

Commented by pieroo last updated on 25/Jan/19

    please help.

$$ \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{help}. \\ $$

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