Question

1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park, CA. For the type of van, your family would like to rent, you can choose from the following options:
• Enterprise Rent-A-Car: $50 per day and $0.25 a mile

• Alamo Car Rental: $45 per day and $0.35 a mile

• Budget Car Rental: $40 per day and $0.30 a mile

• Hertz Car Rental: $30 per day and $0.45 a mile

• Thrifty Car Rental: $35 per day and $0.50 a mile


(a) Choose two of the car rental companies above that you would like to compare prices for and write a mathematical model to represent the cost of renting a van from the two companies.


Rental Company Choice Mathematical Model

A.

B.



(b) Graph these mathematical models in each blank graph provided on the next page. Make sure your model A matches graph A and your model B matches graph B. Please label the graph axes appropriately.

Answer 1

9514 1404 393

Answer:

  A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x

  B) see attached graph

Step-by-step explanation:

A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).

  Enterprise: E(x) = 50 +0.25x

  Hertz: H(x) = 30 +0.45x