Jake is comparing the prices of two mattress cleaning companies. company a charges $30 per mattress and an additional $13 as service charges. company b charges $28 per mattress and an additional $15 as service charges.

part a: write an equation to represent each company's total charges for cleaning a certain number of mattresses. 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 cleaning 4 mattresses? justify your answer. (3 points)

part c: how much money is saved by using the services of company b instead of company a to clean 7 mattresses? (3 points)

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

step-by-step explanation: if she dances 25 minutes longer then runs she would have dance 25 more minutes of running and 30 minutes of dancing to add up to 55