SOLUTION: Scenario #3: Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Green Transportation Service charges $12 i

Question 453992: Scenario #3: Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Green Transportation Service charges $12 initially plus $3.50 per mile for every mile traveled. Thomas Transportation Service charges $10 initially plus $4.50 per mile for every mile traveled.
h) Write an equation in two variables (x & y) that illustrates the costs for using the GreenTransportation Service.
i) Write an equation in two variables (x & y) that illustrates the costs for using Thomas Transportation Service.
j) If the trip is 4 miles, how much does each one charge? If the trip is 10 miles, how much does each one charge? Show your work.
k) At one mileage both services will be charging the same rate. Find that mileage and explain what is happening �graphically� where the services are charging that same rate?

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Scenario #3: Your company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Green Transportation Service charges $12 initially plus $3.50 per mile for every mile traveled. Thomas Transportation Service charges $10 initially plus $4.50 per mile for every mile traveled.
h) Write an equation in two variables (x & y) that illustrates the costs for using the GreenTransportation Service.
i) Write an equation in two variables (x & y) that illustrates the costs for using Thomas Transportation Service.
j) If the trip is 4 miles, how much does each one charge? If the trip is 10 miles, how much does each one charge? Show your work.
k) At one mileage both services will be charging the same rate. Find that mileage and explain what is happening �graphically� where the services are charging that same rate?
=========================================
Let m = the number of miles traveled
Let G = the cost of Green Transportation
Let T = the cost of Thomas Transportation
h) The cost is G = 12 + 3.5m
i) The cost is T = 10 + 4.5m
j) G(4) = 12 + 3.5(4) = $26
T(4) = 10 + 4.5(4) = $28
k) Set G = T and solve for m:
12 + 3.5m = 10 + 4.5m
This gives m = 2
Graphically, this is the point where the two lines intersect.
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