Question

The cost of renting a car at HERTZ depends on the of days for which the car is rented and the distance in kilometres travelled. The cost for two days and 250 km travelled is $66The costs for three days and 700 km travelled is $138Find the cost per day, and the cost per km

Answer 1

Let x be the price for kilometers and y be the price per days. We'll have:

250x+2y = 66

700x +3y = 138

We'll use the addition method to solve the system:

250x+2y = 66 (*-3)

700x+3y = 138 (*2)

-750x - 6y = -198

1400x +6y = 276

Now adding the equations:

-750x +1400x -6y+6y = 78

650x = 78

x= 78/650

x= 0.12

250x+2y = 66

250*0.12 +2y = 66

2y = 66-30

2y = 36

y = 18

Remember we started by defining the x is the price by km and y is the price by day.

Answer: The price per km is $0.12 and the price per day is $18.