Ace Truck Leasing Company leases a certain size truck for $30/day and $0.60/mi, whereas Acme Truck Leasing Company leases the same size truck for $25/day and $0.70/mi.

Question

Ace Truck Leasing Company leases a certain size truck for $30/day and $0.60/mi, whereas Acme Truck Leasing Company leases the same size truck for $25/day and $0.70/mi.

(a) Find the functions describing the daily cost of leasing from each company.

Ace	A(x)	=
Acme	B(x)	=

(c) If a customer plans to drive at most 20 mi, from which company should he rent a truck for a single day?

AceAcme    

(d) If a customer plans to drive at least 65 mi, from which company should he rent a truck for a single day?

AceAcme    

Answer 1

a)

Ace = A(x) =$30.00 + $0.60x

Acme = B(x) =$25.00 + $0.70x

b)

Ace = A(20) =$30.00 + $0.60(20) = 42

Acme = B(20) =$25.00 + $0.70(20) = 39

Answer: Acme

c)

Ace = A(65) =$30.00 + $0.60(65) = 69

Acme = B(65) =$25.00 + $0.70(65) = 70.5

Answer: Ace