Question

Solve this:
Q.7. In winter, the temperature of a place fell at the rate of $\frac{2}{5}$ degrees per day. If the temperature was $20°C$ on day 1, what was the temperature after 5 days?

Answer 1

Dear student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Temperature}\mathrm{on}\mathrm{Day}1=20°\mathrm{C} \\ \mathrm{Rate}\mathrm{of}\mathrm{falling}\mathrm{the}\mathrm{temperature}=\frac{2}{5}°\mathrm{C}\mathrm{per}\mathrm{day} \\ \mathrm{So},\mathrm{temperature}\mathrm{on}\mathrm{Day}2=20-\left(20\times \frac{2}{5}\right)=12°\mathrm{C} \\ \mathrm{Then}\mathrm{temperature}\mathrm{on}\mathrm{Day}3=12-\left(12\times \frac{2}{5}\right)=\frac{36}{5}°\mathrm{C} \\ \mathrm{temperature}\mathrm{on}\mathrm{Day}4=\frac{36}{5}-\left(\frac{36}{5}\times \frac{2}{5}\right)=\frac{108}{25}°\mathrm{C} \\ \mathrm{so}\mathrm{temperature}\mathrm{on}\mathrm{Day}5=\frac{108}{25}-\left(\frac{108}{25}\times \frac{2}{5}\right)=\frac{324}{125}°\mathrm{C}=2.592°\mathrm{C} \end{gathered}$$
Regards