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Davis Rent-A-Car charges a fixed amount per weekly rental plusa charge for each

ID: 3093327 • Letter: D

Question

Davis Rent-A-Car charges a fixed amount per weekly rental plusa charge for each mile driven. A one-week trip of 520 miles cost250 and a two-week trip of 800 miles costs 440. Find the weeklycharge and the charge for each mile driven. I set up two equations where x is the weekly rent and y is thecharge per mile: x+520y=250 2x+800y=440 However, when I solve for x and y I get y = 4 and I get anegative number for x. Please help. Davis Rent-A-Car charges a fixed amount per weekly rental plusa charge for each mile driven. A one-week trip of 520 miles cost250 and a two-week trip of 800 miles costs 440. Find the weeklycharge and the charge for each mile driven. I set up two equations where x is the weekly rent and y is thecharge per mile: x+520y=250 2x+800y=440 However, when I solve for x and y I get y = 4 and I get anegative number for x. Please help.

Explanation / Answer


2.2x+800y=440 2(250-520y)+800y = 440 500-1040y+800y = 440 -240y = -60 y= 0.25 (substitute this into equation 1)
x= 250-520(0.25) x= 250-130 x= 120
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