Question

x Check significant figures and unit conversions. Equate expressions for the total cost of each car and solve for the miles driven. You are trying to decide which of two automobiles to buy. The first is American-made, costs $3.0500 x 104, and travels 31.0 miles/gallon of fuel. The second is European-made, costs $4.3100 x 104, and travels 15.0 km/liter of fuel. If fuel costs $3.00/gallon, and other maintenance costs for the two vehicles are identical, how many miles must each vehicle * travel in its lifetime for the total costs (puchase cost + fuel cost) to be equivalent? 1x 105 miles.

Answer 1

each vechicle avel in Q : +fow many miles must i fetsme for the tota Cos tbe Euivalent Given that Answer- Ameican-made Vehicle of cost 3.0500 X andd it tavel 31.0 miles gallon af fuel Nou fuel cost per mile 3.00gallon iles3atlon 31.0 m fuel Cost per mile (f,)= $0 0968 per mile Cost And Euro pean-made Ve hicle of 2 = 4.31oox lo4 anditael 15.0 km r of fuel 35.2822 miles aallon 15. okm gallon

Now, fuel cast per milklt2)- 3,00 allon 35.2822 miles gallon . .fuel cost per mile (f) = $ 0.0850 per mile vehicles ave x miles Let both lere purchase Cost aal fuel Cost Same bot vehicle are C XfC2t x f2 コーてっ Cf, - X コーてっ ニ Subst CIC , and f in x 43100 xo-$3.0500x1o X 0968-0.0850) per mile

X O.ol8 per mile = lo G96. 6 miles x to. 68 xlo miles X A us