Question
Ramona’s garage charges the following labor rates. All the customers are charged for at least 0.5 hr.
Write the linear function for the data in the table.
The correct answer is:
The slope intercept form: 
The constant rate of change is 30. So, m = 30
Substitute any ordered pair from the table.
So, the linear function is .
A linear function forms a straight line in a graph. It is usually a polynomial function with a degree of 1 or 0, and the equation f(x) = mx + b, where b and m are real numbers. Isn't it similar to the slope-intercept form of a line, which is written as y = mx + b? Yes, because a linear function represents a line.
¶Examples from daily life
1. To print logos on T-shirts, a t-shirt company charges a one-time charge of $50 and $7 per T-shirt. As a result, the total cost is given as a linear function f(x) = 7x + 50, where 'x' is the total number of t-shirts.
2. In linear programming problems, linear functions represent an objective function to minimize costs or maximize profits.
¶
¶
Related Questions to study
A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.
A copy shop can produce a course reader at a cost of $25 per copy. The monthly fixed costs are $10,000. Determine the total monthly cost as a function of the number of copies produced.
A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.
For such questions, we should know the concept of function.
A chemical plant was found to be discharging toxic waste into a waterway. The state in which the chemical plant was located fined the company $125,000 plus $1,000 per day for each day on which the company continued to violate water pollution regulation. Express the total fine as a function of the number of days in which the company remains in non-compliance.
For such questions, we should know the concept of function.
When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?
For such questions, we should know the concept of function.
When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?
For such questions, we should know the concept of function.
For the function 
For the function
Find the value of f (-1) for the function 
For such questions, we should know the concept of the function.
Find the value of f (-1) for the function
For such questions, we should know the concept of the function.
For the set of ordered pair shown, identify the domain.
{(-5,0); (-2,4); (-1,-3); (2,4); (4,-1)}
For the set of ordered pair shown, identify the domain.
{(-5,0); (-2,4); (-1,-3); (2,4); (4,-1)}
For the function 
, find the value of 
For the function , find the value of
For the function 
For such questions, we should know the concept of the function.
For the function
For such questions, we should know the concept of the function.
For a given function
, find the value of 
For such questions, we should know the concept of the function.
For a given function , find the value of
For such questions, we should know the concept of the function.
Find the value of f (3) for the function 
For such questions, we should know the concept of functions.
Find the value of f (3) for the function
For such questions, we should know the concept of functions.
