CSU Global Campus Advertised Truck Rental Price Plan Discussion

Your task for this discussion is as follows:

1. Research an advertised truck rental price plan that does not include unlimited miles and provide the details of the advertisement. (e.g., $50/day with 200 miles included and $0.10 per additional mile.)
2. Create your own similar truck rental price plan with different values. Be sure to not use the exact same values used in a previous post.
3. Based on your plan, write an equation that can be used to determine the daily cost, D(t) of the rental when t miles are needed, and use that equation to calculate the total cost when 300, 1,000, and 2,000 miles are used.
4. In your responses to peers, compare the total costs you calculated in Part 3 with those of at least two peers. Discuss the differences you notice and how they could have been foreseen by just comparing the formulas.

From my investigation, I found that the daily rate for a rental truck goes for $19.95 with 50 miles included
and a charge of $1.29 per mile. With these numbers I have formed my rates to be set at a daily rate for $18
with 60 miles included and a charge of $1.50 per mile. Going with function notation, we will say
D(t) = m (t – 60) + b will be our formula to figure out our overall daily cost. The constant b will
represent the daily flat-rate. The variable t will represent the amount of miles driven. Finally our slope m
will represent the sur-charge of each additional mile driven.
300 Mile Daily Cost
D(t) = m(t – 60 + b
D (300) = 1.5 (300 – 60) + 18
D (300) = 1.5 (240) + 18
D (300) = 360 + 18
D (300) = 378
=
$378 is the cost for a one day rental that has been driven for 300 miles.
1,000 Mile Daily Cost
D(t) = m (t – 60) + b
D (1000) = 1.5 (1000 – 60) + 18
D (1000) = 1.5 (940) + 18
D (1000) = 1410 + 18
D (1000) = 1428
$1,428 is the cost for a one day rental that has been driven for 1,000 miles.
2,000 Mile Daily Cost
D(t) = m(t – 60) + b
D (2000) = 1.5 (2000 – 60) + 18
D (2000) = 1.5 (1940) + 18
D (2000) = 2910 + 18
D (300) = 2928
$2,928 is the cost for a one day rental that has been driven for 2,000 miles.
At U-Haul, the cost of renting a 10′ Truck for 2 days between Federal Co, and Raton, NM is $271 with
258miles included. $0.43/mile for extra mileage.
My own: $250 with 300 miles included, and $0.35 for extra mileage.
These are the rates:
Where D(t) is the daily cost and t is the total miles covered
D(t)=250+0.35(t-250)
1. When 300 miles are used, the daily cost D(t) is:
D(300)=250+0.35(300-300)
D(300)=250
2. When 1000 miles are used, the daily cost D(t) is:
D(1000)=250+0.35(1000-300)
D(1000)=495
3.When 2000 miles are used, the daily cost D(t) is:
D(2000)=250+0.35(2000-300)
1/2000=845