Question

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?

Answer 1

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

Answer 2

you got this from flvs

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

why did you give the answer

Answer 8

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

Answer 9

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.

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

nevertheless it could confuse them at that stage

Answer 14

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

Answer 15

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

Answer 16

@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

Answer 17

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

Answer 18

@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

Answer 19

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

Answer 20

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