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Mathematics 14 Online
jasonmitchell:

How are conditional statements used in advertising? Provide an example.

Angle:

I think an advertisement most people have seen would be Geico's slogan: "15 minutes could save you 15% or more on car insurance."

Angle:

would you consider this a "conditional statement"?

Angle:

there are also typical pharmaceutical drug commercials that have small print warning about the side effects |dw:1536594023823:dw|

jasonmitchell:

yes

jasonmitchell:

so therefore i should write down ?

Angle:

How you answer the question is up to you... You could say that perhaps conditional statements are used to mislead consumers in some ways. For example, in the Geico slogan, you COULD save 15 percent, but it is not promised nor guaranteed. In the drug commercial, you COULD develop side effects such as fainting and swelling in your stomach, but many people buy the drug on the hopes that they might not.

jasonmitchell:

that's conditional statements means in math ?

Angle:

Conditional statements are mostly used in math, yes. But they aren't exclusive to math. For example, you mom could tell you "If you clean your room, I will give you two dollars." This is a valid conditional statement, but does not have to do with math.

jasonmitchell:

hmm ok btw my name is Jason and Angle is very nice to meet you and i was wondering if you could help me with a few questions if that's fine with you

Angle:

It's nice to meet you too :) I will be glad to try to help you with your questions. I might have to go to class in a few minutes though...

jasonmitchell:

ok i'll make it worth your while i appreciate it man

jasonmitchell:

Which format for writing a proof (two-column, paragraph, or flowchart) do you prefer? Explain your reasoning.

Angle:

This sounds like a question the teacher is asking about you particularly; maybe to see how much of the class likes what kind of proof. I would say that each format has it's pros and cons. The two column proof allows you to lay out step by step what is going on with its reasoning right next to it. The paragraph proof give you more space to provide more reasoning for why something results in the next thing; however it is more difficult to see understand what your thoughts were when looking at the paragraph at a glance. The flowchart gives a graphical view of how each conclusion helps and results in other conclusions; however, it could get more messy and has less space available for giving reasonings.

Angle:

For me personally, I took geometry in high school with only two column proofs (so I am bias towards them). I feel like they provide a clear structure to include both the statements and the reasons clearly throughout the proof.

jasonmitchell:

If a conjecture is true, it must be true for all possible situations. Provide an example of a situation in which you know your conjecture is true, but it would be impossible to consider every situation. Explain.

Angle:

You can go really spacey and say that "Gravity exists everywhere in this universe." it SHOULD be true, but you can't possibly test it out (haha) An easier example is "you can always find another real number between any two real numbers". (technically there are infinitely many real numbers between any two real numbers, but that's even harder to prove). But you can think of it, and it's always true like between 1.000000001 and 1.000000002, you can say there's 1.0000000005 between them. But it is literally impossible to try out every situation (because there are infinitely many real numbers)

Angle:

does that make sense? or was I rambling? ^_^"

jasonmitchell:

hmm it' ok now i already turned it in

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