Solve the problem.
-It costs $20 per hour plus a flat fee of $35 for a plumber to make a house call. What is an equation of theform y = ax + b for this situation?
A)y = 20x + 35
B)y = 35x + 20
C)y = 20x
D)y = 35x

Question

Quizplus · Accepted Answer

The equation y = ax + b represents a linear function where a is the slope (rate of change) and b is the y-intercept (the value of y when x=0). In this situation, the rate of change (slope) is $20 per hour and the initial fee (y-intercept) is $35. Therefore, the equation y = 20x + 35 represents the cost y for x hours of a plumber's house call. The variable cost (hourly rate) is represented by 20x, and the fixed cost (flat fee) is represented by 35. Therefore, the equation should be y = 20x + 35.

Solve the Problem. -It Costs $20 Per Hour Plus a Flat Fee of Flat