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?

- anonymous

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- anonymous

Can anyone help

- anonymous

I need help with the steps to solve this

- eSpeX

Looking at this, can you guess where to start?

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## More answers

- anonymous

No sir

- eSpeX

What are the two elements that determine how much I would pay to have this plumbing company do work for me?

- anonymous

the plumbing and heating charges

- 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

the house call and the emergency call?

- eSpeX

Yes, but what are the "numbers" associated with that, remember that this is a math problem.

- anonymous

60 and 55

- eSpeX

Yes, exactly.

- eSpeX

Okay, so what does it cost JUST to have them show up, to make a house call?

- anonymous

50 dollars

- eSpeX

Yes, nice work. Okay, and what if they show up AND do 1 hour of work?

- anonymous

would it be 115

- eSpeX

Perfect, now, how did you get that number? Write it out mathematically.

- anonymous

I added both the 50 and 65

- eSpeX

Good, so how about mathematically, how would you write that out?

- anonymous

50x+65

- eSpeX

Where did the x come from?

- eSpeX

What are you multiplying?

- anonymous

aw this isn't an equation

- eSpeX

Technically it is an expression since there is no =

- anonymous

aw ok

- eSpeX

So try it again, how would you represent the process you used mathematically?

- anonymous

can you give me an example of an expression

- eSpeX

All of these are expressions.
1+2
5-2
12*2
4/1

- anonymous

ok I thought it was something different so 50+65

- 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

180

- eSpeX

Good, can you write out, mathematically, how you got it?

- anonymous

50+130=180

- eSpeX

Good, how could you break up the hourly charge?

- anonymous

50+1 hour(65)=110 50+2 hours(130)=180

- eSpeX

That is a good start, what are you expressing with the 2 hours(130)?

- anonymous

the emergency service

- 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

Aw ok

- eSpeX

How about if I had them come over AND do 5 hours of work?

- anonymous

would I multiply by 5

- eSpeX

Yes, like you did with the 1 and 2

- anonymous

so it would be 250 and 325

- eSpeX

Where did you get the 250?

- anonymous

I multiplied 50*5

- eSpeX

Why?
Did you do that when you had these equations? 50+1*(65)=110, 50+2*(65)=180

- anonymous

no

- eSpeX

Okay, so why would you do it now? :)

- anonymous

I wouldn't multiply I would add

- eSpeX

So what would your equation look like?

- anonymous

so would I add 50 dollars 5 times and 65 dollars 5 times?

- eSpeX

You have "times" in there twice, what components do you have to pay for each of the 5 hours?

- anonymous

50 and 65

- 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

Think about what is actually happening, and try to apply that to your equation to see if it fits.

- anonymous

aw ok so it's only 65

- 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

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

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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