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.
• 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.
1 answer:
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
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<h3>Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Found this when I was doing my own work, hope this helps.
