Question

Mr. Gomez owns a carpet cleaning bus

different jobs his company was hired to do. For
carpet cleaning business. Problems 1-4 show four
pany was hired to do. For each situation:
Let a represent the initial charge (1
the house.
present the initial charge in dollars) for coming to
Let b represent the number of hours the job takes.
Let c represent the charge (in dollars) for each hour the
job takes.
Let d represent the total cost in dollars) of the job.
1. Determine the total cost of a job.
a. If a = 60, b = 4, and c = 50, write an equation for calculating the total​

Answer 1

a) The equation of the total cost is d = a + bc

The equation for calculating the total is d = 60 + 4(50)

b) The total cost for the job is $260

Explanation:

* Lets explain how to solve the problem

- Mr. Gomez owns a carpet cleaning business

- The situation of the job;

# a represents the initial charge (in dollar) for coming to the house

# b represents the number of hours the job takes

# c represents the charge (in dollars) for each hour the job takes

# d represents the total cost (in dollars) of the job

* Lets make the equation of the total cost

∵ The initial amount of the job is a dollars

∵ The number of hours the job takes is b

∵ The charge per hour is c dollars

∵ The total cost of the job is d

- The total cost is the sum of the initial amount and the product of

the number of hours the job takes and the charge per hour

∵ The total cost = initial amount + the number of hours × charge

per hour

∴ d = a + b × c

∴ d = a + bc

a)

* The equation of the total cost is d = a + bc

∵ a = $60 , b = 4 hours , c = $50

∴ d = 60 + 4(50)

* The equation for calculating the total is d = 60 + 4(50)

b)

∵ d = 60 + 4(50)

∴ d = 60 + 200

∴ d = 260

* The total cost for the job is $260