Question

A limousine company charges a fixed cost for a limousine and an hourly rate for it's driver. It cost $500 to rent a limousine for 5 hours and $800 to rent a limousine for 10 hours. What is the fixed cost, in dollars, to rent the limousine.

Answer 1

200

Explanation:

`800-500=300\\300/5=60\\500-([60]5)=200`

Answer 2

Answer: the fixed cost to rent the limousine is $200

Explanation:

Let x represent the fixed cost rent the limousine.

Let y represent the cost of of hiring the driver of the limousine per hour.

It cost $500 to rent a limousine for 5 hours. This means that

x + 5y = 500 - - - - - - - - - - -1

It costs 800 to rent a limousine for 10 hours. This means that

x + 10y = 800 - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 5y = - 300

y = - 300 /- 5

y = 60

Substituting y = 60 into equation 1, it becomes

x + 5 × 60 = 500

x + 300 = 500

x = 500 - 300

x = 200