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

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

Step-by-step 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

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

x=0

step-by-step explanation: