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Project 1 - Avis / Enter. Project

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Submitted By needmegahelp
Words 361
Pages 2
February 2016

Project #1

1. Avis – $64.99 per day (flat rate) therefore A= x + 64.99

2. Enterprise- $45.87 per day, plus $0.25 per mile above 150.

a) x is less than or equal to 150 (miles)
45.87 + ((x-150)(.25))
= 45.87 + .25x + (-37.50)
= 8.37 + .25x b) x is greater than 150 (miles) 45.87 + ((x+150)(.25)) = 45.87 + .25x +37.50 = 83.37 + .25x

3. (see attached graph)

4. x and y intercept of A = x + 64.99 and y = 83.37 + .25x
(24.51 , 89.49)

5. To decide which car rental is more economical, estimate the number of miles you would drive in one day, and apply to x and y. The lowest value will equal the most economical choice.

6. Auto Saver - $38.59 per day, plus $0.25 per mile above 100.

a) x is more than 100 (miles) 38.59 + ((x+100)(.25)) = 38.59 + 25 + .25x = 63.59 + .25x

b) x is less than 100 (miles) 38.59 + ((x-100)(.25)) = 38.59 – 25 + .25x = 13.59 + .25x
If x is less than or equal to 100, then S=38.59
If x is more than 100, then S=38.59 + ((x-100)(.25))

7. (see attached graph)

8. Avis – $64.99
Auto Saver – $38.59
64.99 – 38.59 = $26.40

26.40 / .25 = 105.6 miles

If miles driven are less than 105.6, then Avis is a better deal.

9. USave - $34.99 per day, plus $0.25 per mile over 200 miles.

U = x + 34.99

x is more than 200 (miles)
= 34.99 + ((x+200)(.25))
= 34.99 + .25x + 50
= 84.99 +25.x

(see attached graph)

10. 125 miles 175 miles
Avis 64.99 64.99
Enterprise 45.87 52.12**
Auto Saver 44.84* 57.34***

* ((.25)(25)) = 6.25 + 38.59
**((.25)(25)) = 6.25 + 45.87
***((.25)(75)) = 18.75 + 38.59

At 100 miles, Auto Saver would be the best choice ($38.59)
At 129 miles, Enterprise would be the best choice ($45.87)
At 227 miles, Avis would be the best choice ($64.99)

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