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## Example 4 15. PLUMBER Two neighbors, Camila and Conner, hire the same plumber for household repairs. The plumber worked a

Question

Example 4

15. PLUMBER Two neighbors, Camila and Conner, hire the same plumber for

household repairs. The plumber worked at Camila’s house for 3 hours and

charged her $191. The plumber worked at Conner’s house for 1 hour and

charged him $107.

a. Define variables to represent the situation.

b. Find the slope and y-intercept. Then, write an equation.

c. How much would it cost to hire the plumber for 5 hours of work?

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Mathematics
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2021-08-16T03:23:41+00:00
2021-08-16T03:23:41+00:00 1 Answers
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## Answers ( )

Answer: Part a: b represents the base fee charged for the “house call” job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 – Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla’s bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber’s 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275