Respuesta :
Answer:
I believe the duration for $89.00 is 2 hours
Step-by-step explanation:
We start off with the $17 dollars and calculate 36.00+36.00 for a total of $89. Therefore, (120 mins)/60=2 hours.
Because this is a linear problem, I'd use the slope-intercept formula:
[tex]y = mx + b[/tex]
where
m = slope (rise/run)
y = dependent value
x = independent value
b = constant value
Because the plumber charges $17 upon arrival, it is our constant. The $36 is our slope (per hour, per minute, per etc. is generally a give away). Additionally because the total cost of the plumber's visit depends on how long s/he stays at a client's home, the $89 is our y value. Therefore the equation should look like this:
[tex]89 = 36x + 17[/tex]
Solve for x by subtracting 17 from both sides of the equation then dividing by 36.
[tex]72 = 36x[/tex]
[tex]2 = x[/tex]
The plumber spent two hours at his/her client's home.