Question
The rental cost in dollars, C, of two different confrence rooms are based on the amount of time used in hours, h, plus a basic service charge. The costs are represented by the following two equations. Place A: C=50+2.5h Place B: C=85+1.8h a) If you want to rent a room from 8:00am today till 11:00am tomorrow. Which hotel should you chose to minimize the cost? How much is the cost? b) If you want to rent a room for 3 days, which place should you chose to minimize the cost? You must have mathamatical support for your choice. c)Calculate the numbers of hours for which the costs of the two confrences rooms are the same. How much is the cost? (When the two equal eachother.) The rental cost in dollars, C, of two different confrence rooms are based on the amount of time used in hours, h, plus a basic service charge. The costs are represented by the following two equations. Place A: C=50+2.5h Place B: C=85+1.8h a) If you want to rent a room from 8:00am today till 11:00am tomorrow. Which hotel should you chose to minimize the cost? How much is the cost? b) If you want to rent a room for 3 days, which place should you chose to minimize the cost? You must have mathamatical support for your choice. c)Calculate the numbers of hours for which the costs of the two confrences rooms are the same. How much is the cost? (When the two equal eachother.)
Explanation / Answer
c. Set both calculations equal to each other to determine the hours. Place A= Place B 50+2.5h=85+1.8h 2.5h-1.8h=85-50 .7h=35 h=50 Then just plug 50 hours into each equation. Place A: C=50+2.5(50) C=50+125 C=175 Place B: C=85+1.8(50) C=85+90 C=175 Cost is 175