Tim Martinez is involved in a large construction cost in the

Tim Martinez is involved in a large construction cost in the city. He needs to rent a heavy construction crane for several weeks. He is considering renting from one of two companies. Boston Construction will rent a crane for an initial delivery charge of $1500 and a rental fee of $900 per week. North End Contractors will rent a crane for an initial delivery charge of $500 and a rental fee of $1000 per week.

a. Create a cost equation for each company where y is the total cost of renting a crane and x is the number of weeks the crane is rented. Write a system of equations.

Solution

Let y be the total cost of renting a crane and let x be the number of weeks for which the crane is rened.Then,

1. if the crane is rented from Boston Construction, the initial delivery charge will be $1500 and the rental fee will be $900 per week. Thus, the rental fee for x weeks will be 900x so that the total cost of renting the crane for x weeks is y = 1500 + 900x...(1)

2.  if the crane is rented from North End Contractors, the initial delivery charge will be $ 500 and the rental fee will be $ 1000 per week. Thus, the rental fee for x weeks will be 1000x so that the total cost of renting the crane for x weeks is y = 500 + 1000x...(2)

The required system of equations is y = 1500 + 900x...(1) and y = 500 + 1000x...(2)