5
algebraA plumber charges $50 for a service call plus $40 per hour. If the total bill was $170, how many hours did the plumber work?
A
5.5
B
120
C
4.25
D
3
Correct Answer: D
Choice Bhoice C is the correct answer. We model this with , where is hours.
- Set up equation:
- Subtract 50 from both sides:
- Simplify:
- Divide both sides by 40:
- Simplify:
- Verify: ✓
So, the plumber worked for 3 hours.
Choice Bhoice C is incorrect because this results from adding 50 to 170: , then . You subtract the service call fee.
Choice Bhoice D is incorrect because this is the cost of the labor ($120), not the number of hours.
Choice Bhoice D is incorrect because this results from dividing the total by the rate: . This ignores the service call fee.