## 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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1 month 2021-08-16T03:23:41+00:00 1 Answers 4 views 0

1. 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