It is given that Mr K drives 24000 miles per year.
So in one month he travels:
![M=(24000)/(12)=2000](https://img.qammunity.org/2023/formulas/mathematics/high-school/kgu0gzut9d1womh5x4xbj7w76pevvo8mqg.png)
He travels 2000 miles per month.
The average gasoline cost is $3.30 per gallon and the car gives 25 miles per gallon.
Hence the total monthly gas cost is:
![(2000)/(25)*3.3=264](https://img.qammunity.org/2023/formulas/mathematics/high-school/zv506v90h7nfo7k7q2ujf2x4ouy2xh7fw5.png)
The monthly gas expense is $264
The yearly expense on repairs and maintenance is $5675 so the monthly expense is calculated as follows:
![(5675)/(12)=472.92](https://img.qammunity.org/2023/formulas/mathematics/high-school/sxwlbt9d7hrrlzx7entlgjz69ra4c2rbva.png)
Hence the total expense is given by:
![T=264+472.92=736.92](https://img.qammunity.org/2023/formulas/mathematics/high-school/5qet3zskqwo0db8q9tkojeif1coolvg3j2.png)
Hence his monthly car expense is $736.92
Option E is correct.