Question

Charges for borrowing a cycle is Rs.20 per day for the first 5 days and later Rs.50 per day.If the total amount is y and no.of days x ​, write linear equation for this.

Answer 1

Dear Student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Charges}\mathrm{for}\mathrm{borrowing}\mathrm{a}\mathrm{cycle}\mathrm{per}\mathrm{day}=\mathrm{Rs}.20 \\ \mathrm{so},\mathrm{charges}\mathrm{for}5\mathrm{days}=20\times 5=\mathrm{Rs}.100 \\ \mathrm{Charges}\mathrm{per}\mathrm{day}\mathrm{after}5\mathrm{days}=\mathrm{Rs}.50 \\ \mathrm{No}.\mathrm{of}\mathrm{days}=\mathrm{x} \\ \mathrm{Then}\mathrm{total}\mathrm{amount}=100+50\left(\mathrm{x}-5\right) \\ \mathrm{Total}\mathrm{amount}=\mathrm{y} \\ \mathrm{So}\mathrm{we}\mathrm{have}; \\ \mathrm{y}=100+50\left(\mathrm{x}-5\right) \\ \Rightarrow \mathrm{y}=100+50\mathrm{x}-250 \\ \Rightarrow \mathrm{y}-50\mathrm{x}+150=0 \\ \mathrm{This}\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{linear}\mathrm{equation}. \end{gathered}$$
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