You can set up an equation, where 'x' is equal to the number of additional miles after 150 miles.
[tex]\sf 0.35x+34.95[/tex]
To figure out how much the rental car will cost after 275 miles, first find out how many additional miles there are after 150 miles. 275 - 150 = 125. Now plug this in for 'x' in our equation:
[tex]\sf 0.35(125)+34.95[/tex]
[tex]\sf 43.75+34.95[/tex]
[tex]\sf\boxed{\sf\$78.70}[/tex]