Jim headed south 5 miles from his house to the cleaners. from there he headed west to meet his friends. they were at a park 3 miles away. how far would he have to go if he went straight home? (pythagorean theorem)

Yes, use the Pyth. Thm.  This situation is illustrated by a right triangle with legs 5 miles and 3 miles.  What would be the equivalent straight line distance from house to cleaners?

(5 mi)^2 + (3 mi)^2 = (straight line distance)^2

(25 + 9) mi^2 =  (straight line distance)^2

 straight line distance = length of hypotenuse = sqrt(34 mi^2)    (answer)

The answer is c because you turn 17.5% into a decimal which gives you .175 then you times that by $361.35 which gives you 63.23625 but then you round that which gives you 63.24. then you at 63.24 pulse 361.35 and you round it which gives you $425