The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below:
3|x − 8| + 15 = 18
What are the minimum and maximum temperatures for this day?

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- welshfella

you should have the confidence to so these on your own now

- anonymous

you got this from flvs

- anonymous

so before we start we have to know what type of equation this is

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## More answers

- anonymous

the type of brackets are a dead give away because it shows us it is a absolute value equation

- anonymous

since we now know it is a absolute value equation we know you can only have 2 answers

- anonymous

When dealing with absolute equations you know you are going to have a + and a -. For instance
3|x − 8| + 15 = 18
Subtract 15 from both sides of the equal sign.
3|x − 8| + 15 = 18
3|x − 8| + 15-15 = 18 - 15
3|x − 8| = 3
Now divide 3|x − 8| = 3 by three on each side of the equal sign.
3|x − 8| /3 = 3 /3
|x − 8| = 1
Now we have |x − 8| = 1 but we also have |x − 8| = -1 notice the - 1. When dealing with absolute equations like this you will have a + and a - Now just solve these two equations
|x − 8| = 1
and
|x − 8| = -1

- anonymous

why did you give the answer

- anonymous

@Matt_J02 I did not. He / she still needs to finish it.

- anonymous

I helped show her or him how to break it down because he or she might be having trouble in breaking down the equation to a form she or he can work with.

- welshfella

3|x − 8| + 15 = 18
subtract 15 from both sides
3|x - 8| = 3
divide both sides by 3
|x - 8| = 1
solve the 2 equations
x - 8 = 1 and x - 8 = -1

- welshfella

@Nixy - you need to remove the mod lines around the x - 8

- anonymous

I was leaving that for them to do :-) @welshfella

- welshfella

nevertheless it could confuse them at that stage

- anonymous

@welshfella maybe but I would hope they can at least remove them at this stage in their study.

- welshfella

- oh ok - i guess it was a deliberate mistake on your part.

- anonymous

@welshfella Not a mistake at all. Lets just take it a step further so he or she is not perplexed. I mean if he or she cannot remove absolute bars I am sure he or she cannot solve x-8 = 1 and x-8 = -1
x-8 = 1
and
x-8 = -1
Now add 8 to each side of the equation
|x-8| = 1
x-8 = 1
x - 8+8 =1 + 8
x = 9
|x-8| = -1
x-8 = -1
x-8+8 = -1+8
x= 7

- welshfella

nevertheless writing |x - 8! = -1 is an incorrect statement

- anonymous

@welshfella it is not if you remove the bars, which is the simplest thing to do in this problem....I was showing the user a process . Nitpick much? Also, you stated |x - 8! = -1. You should use a bar | and not an ! mark. I might not understand what you mean when you stat |x - 8! = -1 ...... Rolls eyes

- welshfella

its not nitpicking at all
and typos are easily made
the fact is x - 8 = -1 does not follow from |x - 8| = -1

- anonymous

@welshfella ok, whatever. Have a good day........Roll eyes

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