Jose is comparing the prices of two carpet cleaning companies. company a charges $0.40 per square foot of carpet area and an additional $22 per day for services. company b charges 0.60 per square foot of carpet area and an additional $18 per day for services. part a: write equations to represent company a and company b's total charges for cleaning a certain carpet area in a day. define the variable used in the equations. (4 points) part b: which company would charge less for cleaning 500 square feet of carpet area? justify your answer. (3 points) part c: how much money is saved by using the services of company a instead of company b for cleaning 200 square feet of carpet area? (3 points)

Part A: Write equations to represent Company A and Company B's total charges for cleaning to certain carpet area in a day. Define the variable used in the equations. (4 points)
 First we define the variables:
 x = square foot of carpet area
 y = price in $
 We now write the equations for each company:
 Company A:
 y = 0.40x + 22
 Company B:
 y = 0.60x + 18
 
 Company A:
 y = 0.40x + 22 
 Company B:
 y = 0.60x + 18

 Part B: Which company would charge less for cleaning? 500 square feet of carpet area? Justify your answer. (3 points)
 We use the contracted equations in part A and substitute x = 500
 We have then:
 Company A: 
 y = 0.40 * (500) +22
 y = 222 $
 Company B:
 y = 0.60x + 18
 y = 0.60 * (500) +18
 y = $ 318
 
 company A would charge less for cleaning 500 square feet of carpet area

 Part C: How much money is saved by using the services of Company A instead of Company B for cleaning 200 square feet of carpet area? (3 points)
 Company A:
 y = 0.40 * (200) +22
 y = $ 102
 Company B:
 y = 0.60x + 18
 y = 0.60 * (200) +18
 y = $ 138
 Then, 
 138-102 = 36 $
  
 is saved about 36 $ by using the services of Company A instead of Company B for cleaning 200 square feet of carpet area

Horatian satire is more witty and tolerant.named after the roman satirist horacegently criticizes human nature and human follyjuvenalian satire is more angry and personal, attempting to produce anger in the reader.named after roman satirist juvenalattacks human vice-indignant

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