Question

College Hunks Movers’ charges $90 plus $25 per hour to move the average student out of the off-campus housing at University of Maryland. ‘Two Men and a Truck Movers’ charges $40 per hour for the same move. What length of time does it cost less to hire College Hunks Movers over Two Men and a Truck Movers? Show a test case to prove your findings.

Answer 1

Let length of time = x hours, then

Find total cost for College Hunks Movers' :

C(x) = 90 +25x

Find total cost for ‘Two Men and a Truck Movers’

C(x) = 40x

Since, cost is less to hire College Hunks Movers over Two Men and a Truck Movers, set up as

90 +25x <40x

90 <40x -25x

90<15x

15x > 90

x>90/15

x>6

Thus, length of time should be more than 6 hours.

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Show a test case to prove your findings, let us test for 7 hours.

cost for ‘Two Men and a Truck Movers= 90 +25*7 =$265

cost for ‘Two Men and a Truck Movers’ = 40*7 =$280

Thus, $265 is less than $280, cost less to hire College Hunks Movers over Two Men and a Truck Movers.