Question

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation for the cost, y, after x hours of service.

Options:

A. Unit Rate: $50 per hour
Y-Intercept: $25
Equation: y = 50x + 25

B. Unit Rate: $25 per hour
Y-Intercept: $50
Equation: y = 25x + 50

C. Unit Rate: $75 per hour
Y-Intercept: $25
Equation: y = 75x + 25

D. Unit Rate: $50 per hour
Y-Intercept: $75
Equation: y = 50x + 75




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Answer 1

The correct equation for the plumber's service cost is Option A: y = 50x + 25, which includes a fixed service charge and an hourly rate.

Step-by-step explanation:

The plumber's cost equation is based on a fixed service call charge plus an hourly rate for the actual hours worked. The equation to represent the total cost y after x hours of service is y = 50x + 25.

Option A correctly represents the plumbers charging scheme with y as the total cost and x as the number of hours worked. Here the y-intercept is $25, which is the initial service call cost, applicable regardless of the hours worked, and the slope is $50, representing the hourly rate for service. Therefore, for every additional hour of service, the total cost increases by $50.