The cost that a carpet cleaning company charges is directly proportional to the number or rooms cleaned . the cost is $22 for each room . write an equation to represent this relationship .

The required equation is

Charges = $(22 * No of Rooms cleaned)

Step-by-step explanation:

Direct Relation:

The relation ship in which if one quantity increase then it results in the increase of the other quantity too and if it decreases then other quantity will decrease too.

it is represented by

a∝b

a= kb

where k is constant of proportionality

Now for the given question

Charges is directly proportional to no of rooms cleaned

It is

Charges ∝ No of rooms cleaned

It could be written as

Charges = K * No of rooms cleaned

Here k is given as $22 for each room

so

it becomes

Charges = $(22 * No of Rooms cleaned)

which is the relationship in form of equation!!!

y=mx+b

step-by-step explanation:

m slope, b y-intercept

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3