Question

Help! More written/ less math

Answer 1

Will you be here until we're done?

Answer 2

Yes, I appolgize for the last question @Yavar

Answer 3

Ok,
let me check one thing.
Answer to my question here:
\[\frac{ A }{ B }=\frac{ C }{ D }\]

Answer 4

if they're all variables tell me one thing. Doubling which of B, C or D can cause A to be doubled?

Answer 5

If you do not know the answer to my question, just let me know.

Answer 6

yes. It can be either C or B.

Answer 7

in the equation above if:
B or C are doubled then A or D must be doubled to keep the equation correct.

Answer 8

now tell me one thing. In the equation above if D is doubled then which of A, B or C must be doubled to keep it correct?

Answer 9

C or B?

Answer 10

Exactly!

Answer 11

Ok, now answer this:
If D is doubled and both B and C are constants, then how should A change to keep the equation correct?

Answer 12

Incorrect!

It must be divided by 2.

Answer 13

Here we say:
D has a "DIRECT RELATION" with B and C.
and
D has an "INVERSE DIRECTION" with A.

Answer 14

you got it?

Answer 15

"INVERSE RELATION",
(sorry)

Answer 16

yes thank you

Answer 17

ok.
Now we can answer to your question easily.

Answer 18

in your question d^2 is in the place of C.
delta(t) is in the place of B.

Can you see that?

Answer 19

EXACTLY!

Answer 20

Knowing Direct and Inverse relations between different quantities is very important when you want to UNDERSTAND physics.

Answer 21

Now tell me by what factor delta t will change

Answer 22

No.....
in my question if C is multiplied by 3, then B must be divided by 3. Because they have inverse relation.

Answer 23

what about in your question?

Answer 24

oh im sorry, by 3!

Answer 25

Oook! Not exactly.
Because in your question things are slightly different.
Actually in your question delta t has inverse relation with d^2 not d.
so if you multiply d by 3 then d^2 will become 9 times bigger. (3^2=9)
Ok?
So if d^2 (which has inverse relation with delta t) is multiplied by 9, how delta t must change?

Answer 26

If you don't understand it, just let me know.

Answer 27

ABSOLUTELY!
very nice.

Answer 28

now tell me one thing. What if d was powered by 3 instead of two?

Answer 29

3^3 so must be divided by 27

Answer 30

I loved it!
You've understood it completely.
Great!

Answer 31

I don't have any idea what "The Pattern of Proportionality" means in your lessons. what is that?

Answer 32

i am not sure actually i haven't heard it before - i believe it is what their proportion is for each other

Answer 33

(just to make sure the answer to part A is 9?)

Answer 34

1/9

Answer 35

d is tripled --> d^2 is multiplied by 9 --> delta t must then be divide by 9 (or multiplied by 1/9)

Answer 36

thank u

Answer 37

You're welcome.
I hope I could help you understand the very important usage of Direct and Inverse Relations.

Happy Holidays and do great!