Respuesta :
so what is the question here? if he is paid $30 an hour for 4 hours that is $120 if the total fee is $170 then the initial fee for the job is $50.
Answer:
The initial fee is $50.
Step-by-step explanation:
We will write an equation in slope-intercept form to solve this.
We know the slope, or rate of change, is $30. This gives us
y = 30x + b
We do not know the y-intercept, which is the initial fee.
We know that for a 4 hour job, he charges $170. We can substitute the total cost in for y and the number of hours in for x:
170 = 30(4) +b
170 = 120 + b
Subtract 120 from each side:
170-120 = 120+b-120
50 = b
The initial fee is $50.