Answer:
A) A = 30m + 13 B = 28m + 15
B) Company B would charge $6 less for 4 mattresses
C) Company B would charge $12 less for 7 mattresses
Step-by-step explanation:
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.
Let's define the variable m to represent the number of mattresses to be cleaned.
For company A, we have a cost per mattress of $30 plus a fixed service fee of $13. So the equation will be:
A = 30m + 13
While company B charges $28 per mattress, with a fixed service fee of $15:
B = 28m + 15
That way, we have a good representation of both price structures, using a meaningful variable.
B. Which company would charge less for cleaning 4 mattresses? Justify your answer.
We just have to calculate the cost of cleaning 4 mattresses at both companies:
A = 30m + 13 = 30 (4) + 13 = 120 + 13 = $133
B = 28m + 15 = 28 (4) + 15 = 112 + 15 = $127
Company B would charge $6 less for 4 mattresses
C. How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
Again, all we have to do is calculate the cost to clean 7 mattresses at both companies:
A = 30m + 13 = 30 (7) + 13 = 210 + 13 = $223
B = 28m + 15 = 28 (7) + 15 = 196 + 15 = $211
Company B would charge $12 less for 7 mattresses
