anonymous
  • anonymous
DG's Plumbing and Heating charges $50 plus $65 per hour for emergency service. Bill remembers being billed just over $250 for an emergency call. How long to the nearest hour was the plumber at Bill's house?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Can anyone help
anonymous
  • anonymous
I need help with the steps to solve this
eSpeX
  • eSpeX
Looking at this, can you guess where to start?

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More answers

anonymous
  • anonymous
No sir
eSpeX
  • eSpeX
What are the two elements that determine how much I would pay to have this plumbing company do work for me?
anonymous
  • anonymous
the plumbing and heating charges
eSpeX
  • eSpeX
Of course the charges, but what specifically about the charges? The problem statement gives you this info, "DG's Plumbing and Heating charges $50 plus $65 per hour for emergency service." What are the two components to the charge?
anonymous
  • anonymous
the house call and the emergency call?
eSpeX
  • eSpeX
Yes, but what are the "numbers" associated with that, remember that this is a math problem.
anonymous
  • anonymous
60 and 55
eSpeX
  • eSpeX
Yes, exactly.
eSpeX
  • eSpeX
Okay, so what does it cost JUST to have them show up, to make a house call?
anonymous
  • anonymous
50 dollars
eSpeX
  • eSpeX
Yes, nice work. Okay, and what if they show up AND do 1 hour of work?
anonymous
  • anonymous
would it be 115
eSpeX
  • eSpeX
Perfect, now, how did you get that number? Write it out mathematically.
anonymous
  • anonymous
I added both the 50 and 65
eSpeX
  • eSpeX
Good, so how about mathematically, how would you write that out?
anonymous
  • anonymous
50x+65
eSpeX
  • eSpeX
Where did the x come from?
eSpeX
  • eSpeX
What are you multiplying?
anonymous
  • anonymous
aw this isn't an equation
eSpeX
  • eSpeX
Technically it is an expression since there is no =
anonymous
  • anonymous
aw ok
eSpeX
  • eSpeX
So try it again, how would you represent the process you used mathematically?
anonymous
  • anonymous
can you give me an example of an expression
eSpeX
  • eSpeX
All of these are expressions. 1+2 5-2 12*2 4/1
anonymous
  • anonymous
ok I thought it was something different so 50+65
eSpeX
  • eSpeX
Excellent, that is exactly right. So now, how much would it cost if I had the plumber show up AND do 2 hours of work?
anonymous
  • anonymous
180
eSpeX
  • eSpeX
Good, can you write out, mathematically, how you got it?
anonymous
  • anonymous
50+130=180
eSpeX
  • eSpeX
Good, how could you break up the hourly charge?
anonymous
  • anonymous
50+1 hour(65)=110 50+2 hours(130)=180
eSpeX
  • eSpeX
That is a good start, what are you expressing with the 2 hours(130)?
anonymous
  • anonymous
the emergency service
eSpeX
  • eSpeX
What about writing it like this: 50+1*(65)=110, 50+2*(65)=180? You are expressing that there is a $50 charge plus $65 for each hour.
anonymous
  • anonymous
Aw ok
eSpeX
  • eSpeX
How about if I had them come over AND do 5 hours of work?
anonymous
  • anonymous
would I multiply by 5
eSpeX
  • eSpeX
Yes, like you did with the 1 and 2
anonymous
  • anonymous
so it would be 250 and 325
eSpeX
  • eSpeX
Where did you get the 250?
anonymous
  • anonymous
I multiplied 50*5
eSpeX
  • eSpeX
Why? Did you do that when you had these equations? 50+1*(65)=110, 50+2*(65)=180
anonymous
  • anonymous
no
eSpeX
  • eSpeX
Okay, so why would you do it now? :)
anonymous
  • anonymous
I wouldn't multiply I would add
eSpeX
  • eSpeX
So what would your equation look like?
anonymous
  • anonymous
so would I add 50 dollars 5 times and 65 dollars 5 times?
eSpeX
  • eSpeX
You have "times" in there twice, what components do you have to pay for each of the 5 hours?
anonymous
  • anonymous
50 and 65
eSpeX
  • eSpeX
What you are doing here is looking at what you have to pay for each hour that the service is there. Just to have them come out costs you $50, then, every hour you are charged $65. You are not charged a call-out fee every hour, you only pay that once. That is why you "add" the call-out fee.
eSpeX
  • eSpeX
Think about what is actually happening, and try to apply that to your equation to see if it fits.
anonymous
  • anonymous
aw ok so it's only 65
eSpeX
  • eSpeX
Yes, because that is the hourly rate, that is what you are charged for each hour they are there. You do not need to pay a call-out every hour.
eSpeX
  • eSpeX
What would the three equations look like if I asked you to tell me what it cost to have the plumbers there for 2, 3, and 4 hours?
eSpeX
  • eSpeX
I believe that you need to work on the basics a little more. This site has games and tips from pre-algebra up through calculus. Give it a look: http://www.coolmath.com/index.html

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