AufcolAlg 7./0.5 points AutColAig8 2.3.089. A rental company purchases a truck f
ID: 3185197 • Letter: A
Question
AufcolAlg 7./0.5 points AutColAig8 2.3.089. A rental company purchases a truck for $12,500. The truck requires an average cost of $4.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) truck has been rented for t days (b) The truck rents for $54.00 a day. Find a linear function that expresses the revenue R when the RCC) (c) The profit after t days, P), is given by the function p()R(-CO. Find the linear function P) P(t) (d) Use the function?t) that you obtained in part (c) to determine how many days it will take the company to break even on the Peaseofte tra Aare that the truck is in use every day. (Round your answer to the nearest day.) daysExplanation / Answer
a) cost C of owning the truck after t days
C(t) = 4.75 t + 12500
b) function for revenue
R(t) = 54t
c) P(t) = R(t) - C(t)
P(t) = 54t - 4.75 t - 12500
P(t) = 49.25t - 12500
d) breakeven occurs when revenue = cost
54t = 4.75 t + 12500
49.25t = 12500
t = 254 days
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