Taylor is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $15 as s
ervice charges. Company B charges $28 per mattress and an additional $21 as service charges. Part A: write equations to represent company A’s and Company B’s total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. Part B: which company would charge less for cleaning 6 mattresses? Justify your answer. Part C: How much money is saved by using the services of Company B instead of Company A to clean 3 mattresses?
To solve using completing square method we proceed as follows: x^2-10x+8=0 x^2-10x=-8 but c=(b/2)^2 c=(10/2)^2=25 thus we can add this in our expression to get x^2-10x+25=8+25 factorizing the LHS we get: (x-5)(x-5)=33 (x-5)^2=33 getting the square roots of both sides we have: x-5=+/-√33 x=5+/-√33
