Car rentals

Enterprise-Rent-A-Car and Smith Car Rentals

Enterprise-Rent-A-Car charges a $ 50 flat fee and $ 0.50 per hour for car rentals and Smith Car Rentals charges $ 5 per hour for car rentals.

Let y = Total Cost


Let x = Number of hours for car rental


Enterprise-Rent-A-Car: y = 0.50x + 50


Smith Car Rentals: y = 5x

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Graph with intersection of lines (solution)

y axis shows total cost ($)

x axis shows the number of hours car rented for

The red line shows the cost ($) per hour for car rentals from Enterprise-Rent-A-Car .

The blue line shows the cost ($) per hour for car rentals from Smith Car Rentals.

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Graphic Solution (11.11, 55.56)
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Enterprise-Rent-A-Car: y = 0.50x + 50

= 0.50 (11.11) + 50

= $ 55.56


Smith Car Rentals: y = 5x

=5(11.11)

= $ 55.56


This implies that the degree of accuracy of the solution is high because the graph shows that the solution is (11.11, 55.56) and I have proved it yet again by substituting x in the equations with 11.11 h to find out the cost which is also $ 55. 56.


The significance of the solution of this linear system is to show that the total cost for Enterprise-Rent-A-Car and Smith Car Rentals are the same ($55.56) at 11.11 hours. The solution is also realistic because car rentals for around 10 hours cost approximately $ 50.

∴ Car rentals from Enterprise-Rent-A-Car and Smith Car Rentals will both cost $ 55.56 in 11.11 hours.