Ake is comparing the prices of two laundry service companies. company a charges $20 per load and an additional $8 as service charges. company b charges $24 per load and an additional $4 as service charges.

part a: write an equation to represent each company's total charges for cleaning a certain number of loads of laundry. for both equations (one for company a and one for company b), define the variable used. (4 points)

part b: which company would charge less for 5 loads of laundry? justify your answer. (3 points)

part c: how much money is saved by using the services of company a instead of company b to clean 9 loads of laundry? (3 points)

(10 points)

Please read the answers below.

Step-by-step explanation:

A. Write an equation  to represent each company's total charges for cleaning a certain number of loads of laundry.

Company A equation (using x as the variable for the total cost and y for the number of loads)

x = 20y + 8

Company B equation (using z as the variable for the total cost and y for the number of loads)

z = 24y + 4

B. Which company would charge less for 5 loads of laundry?

Company A

x = 20 * 5 + 8

x = US$ 108

Company B

z = 24 * 5 + 4

z = US$ 124

Company A will charge US$ 108, US$ 16 less than Company B

C, How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?

Company A

x = 20 * 9 + 8

x = US$ 188

Company B

z = 24 * 9 + 4

z = US$ 220

Company A will charge US$ 188, US$ 32 less than Company B

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: