# 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

## 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.

Graphic Solution (11.11, 55.56)
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.