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The below scenarios reflect the relationship between the total cost of renting a car, y, and the duration a car is rented in days, x.

Days (x) 0 2 5 10
Total cost of rental (y) $50 $96 $165 $280
Paradise Car Rental y = 21.50x + 30

7) Suppose you wanted to start your own car rental company with competing prices to that of EZ Car Rental and Paradise Car Rental. What would be a cheaper daily rate your company would offer, compared to EZ and Paradise?
$_____ per day

8) The initial value of both car rental companies represents the one-time booking fee customers must pay upon picking up a car. How much cheaper is Paradise's booking fee than that of EZ Car Rental?

9) Another car rental company, Speedy Borrow, charges its customers according to the equation y = 25x + 15. Compare Speedy's Borrows rate of change and initial value to those of EZ and Paradise. ​

The below scenarios reflect the relationship between the total cost of renting a car-example-1

1 Answer

2 votes

To compete with Paradise Car Rental, a company would need to offer a daily rate lower than $21.50. Paradise's booking fee is $50, but without EZ Car Rental's exact rate and booking fee, comparisons can't be made. Speedy Borrow charges $25 per day with a $15 booking fee, higher in rate but lower in initial costs compared to Paradise.

Step-by-step explanation:

To compete with EZ Car Rental and Paradise Car Rental, we first need to establish their daily rates. EZ Car Rental has a relationship between the total cost and the days rented, which is shown in samples of total cost of renting the car (y) and the number of days (x). By observing the provided scenarios, it seems that the cost increases by a fixed amount for each additional day. However, the exact per-day rate is not given for EZ Car Rental, therefore we cannot compute the exact rate to compete without more information.

For Paradise Car Rental, the equation provided is y = 21.50x + 50. The rate here is $21.50 per day, as indicated by the coefficient of x in the equation. Therefore, your rental company would need to offer a daily rate less than $21.50 to compete with Paradise Car Rental.

Regarding the booking fee, for Paradise Car Rental it is $50 as given by the equation's constant term. EZ Car Rental's booking fee is not explicitly mentioned, so we cannot determine how much cheaper Paradise's booking fee is without that information.

Comparing Speedy Borrow's rates to those of EZ and Paradise, we have the equation y = 25x + 15, where the rate of change is $25 per day, and the initial value, meaning the booking fee, is $15. Speedy Borrow's rate of change is higher than Paradise's rate of change but their initial value is lower. Without EZ Car Rental's rates, we cannot compare it to Speedy Borrow.

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