[All Steps] A rental company purchases a truck for $19,500. The truck requires an average cost of $16.75 per day in Maintenance. Find a linear function that


Question: A rental company purchases a truck for $19,500. The truck requires an average cost of $16.75 per day in Maintenance.

  1. Find a linear function that expresses the total cost \(C\) of owning the truck after \(t\) days.
  2. The truck rents for $55.00 a day, find a linear function that expresses the revenue \(R\) when the truck has been rented for \(t\) days.
  3. The profit after \(t\) days, \(P(t)\) is given by \(P(t)=R(t)-C(t)\) Find the linear function \(P(t)\).
  4. Use the function \(P(t)\) that you obtained in c to determine him many days it will take the company to break even on the purchase of the truck. Assume that the truck is in use every day.

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