Question

I need help with this please?

Answer 1

Write out the given information

`\begin{gathered} \text{Initial volume of gas=40litre} \\ \text{percentage of gas lost per day=0.5\%} \\ \text{The percentage remaining will be } \\ 100-0.5=99.5\text{ \%} \end{gathered}`

Then

After each day, the gas will be remaining

`\begin{gathered} (99.5)/(100)=0.995 \\ \\ \end{gathered}`

Then, then for one week, we will have

`(0.995)^7`

Hence

The volume of the gas that will be remaining will be

`40(0.995)^7`

Therefore

The volume of gas after one week is 40(0.995)^7

The fourth option is correct (D)