Aprofessional organizer charges a $45 consultation fee, plus $20 per hour. her competitor charges a $30 consultation fee, plus $26 per hour. a. write a system of equations to represent the situation. b. solve the system by substitution. for what number of hours will the total charge be the same? c. what will that charge be?

Part a) see the procedure

Part b)

Part c) The charge will be $95

Step-by-step explanation:

Part a) Write a system of equations to represent the situation

Let

x ----> the number of hours

y ----> the total charge

we know that

A professional organizer

----> equation A

Her competitor

----> equation B

Part b) Solve the system by substitution. For what number of hours will the total charge be the same?

we have

----> equation A

----> equation B

substitute equation B in equation A

Solve for x

Part c)  What will that charge be?

For x=2.5 hours

substitute in equation A or equation B

The charge will be the same

Verify

Equation A

Equation B

therefore

The charge will be $95

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: