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Mathematics 15 Online
OpenStudy (anonymous):

Could use some help setting this up please. Medal.

OpenStudy (anonymous):

OpenStudy (anonymous):

@DebbieG

OpenStudy (anonymous):

625 = 60E + 10A A = E - 4 I bet you can do it from here.

OpenStudy (debbieg):

Eng rate = 60/hr astnt rate=10/hr total = 625 astnt hours = eng hours -4 Like @creeksider showed you, you can model all of that with two equations: 1 for the total cost (eng rate x eng time + astnt rate x astnt time) 1 for the relationship between the eng time and the astnt's time.

OpenStudy (anonymous):

ok so the first formula 625 = 60E + 10A 625 is number job cost got that and 60 is how much money engineer makes per hour E being his hours so fourth with assistant now second formula A is hours assisted worked while E is hours engineer worked and we subtract it by 4 because the assistant worked less then 4 hours. I am not sure how to start next step, multiple -60E to get rid of the hours worked by engineer?

OpenStudy (debbieg):

Since the 2nd equation is already "A=...." you can just substitute that expression for A into the first equation, where you have the A. Then you get 1 equation in 1 unknown (E) which you can solve for that variable. Then substitute the value for E back into either of the equations (the 2nd one is the simplest) to get the value for A.

OpenStudy (debbieg):

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OpenStudy (anonymous):

so he worked 9.5 hours? Meaning the assistant worked 5.5 hours?

OpenStudy (anonymous):

Check it yourself to see if this is the right answer. What would the customer be billed if the engineer worked 9.5 hours at $60 per hour, and the assistant worked 5.5 hours at $10 per hour?

OpenStudy (anonymous):

Yes I got the right answer thanks

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