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 find the vertex use -b/2a (for the x value which is also the axis of symmetry) So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value: y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
1 and 1/6 is the correct answer because 4/1 multiplied by 1/3 is 4/3. 4/3 multiplied by 7/8 is 28/24 or 1 and 4/24, which can be simplified down to 1 and 1/6.
