Solve the problem.
-An electrician charges a fee of $45 plus $30 per hour. Find a linear function f(x) = mx + b whose input is the number of hours worked and whose output is the total cost of the job. Find the Slope-intercept form of the equation.
A) $f ( x ) = 45 x - 30$
B) $f ( x ) = 45 x + 30$
C) $f ( x ) = 30 x - 45$
D) $f ( x ) = 30 x + 45$

Question

Solve the problem.
-An electrician charges a fee of $45 plus $30 per hour. Find a linear function f(x) = mx + b whose input is the number of hours worked and whose output is the total cost of the job. Find the Slope-intercept form of the equation. 
A) $f ( x ) = 45 x - 30$
B) $f ( x ) = 45 x + 30$
C) $f ( x ) = 30 x - 45$
D) $f ( x ) = 30 x + 45$

Quizplus · Accepted Answer

The given information tells us that the electrician charges $30 per hour, which represents the slope of the linear function. The fixed fee of $45 represents the y-intercept, which is b in the slope-intercept form of the equation (y = mx + b). Therefore, the linear function can be written as f(x) = 30x + 45, which is the same as choice D.

Solve the Problem f(x)=45x−30f ( x ) = 45 x - 30f(x)=45x−30

Solve the Problem $f ( x ) = 45 x - 30$