Answer:
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
