Dependent and independent variables exercise: express the graph as an equation | Khan Academy

We're flipping the last video on its head and doing the opposite. This time we give you the graph and ask you to express it as an equation.

Missed the previous lesson?

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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[qgtviyl]

I am trying to study for a test in 1 week about this topic so I am searching how to do this because my teacher doesn't explain well. This is a bit confusing, but it did teach me a couple of things. Looks like I will continue finding other videos about this topic lol.

[dgzlqyg]

1. 0:00 0:01 / 0:03 0:07 0:09
So let's see we have this graph over here / with t is the independent variable on the, on the horizontal axis and d is the dependent variable on the vertical axis.
윗(뜨) 티이 이즈 디 / 인드페는 베리어벌 온더 온디 호러잔틀 액시슨 디이 이즈 디페는 뻬리어블 온더 버리컬랙시스
여기 그래프가 있습니다. t가 가로축의 독립변수이고 d가 세로축의 종속변수입니다.
ㆍㆍㆍ
horizontal 호러잔틀(미), 허리잔틀(영) : 수평(선)의, 가로의
vertical 수직의
a horizontal[transverse] axis (호러잔틀 액시스, 호러자늘 액시스) 수평축
a horizontal plane 수평면
vertical axis (버리컬 액시스) 수직축
axis (사물의) (중심) 축, 축선 /기하 (대칭체의) 중심축
dependent 디펜든트, 디펜든, 드펜든
independent 인디펜든트, 인드펜든ㅌ. 독립적인
inde|pendent |variable 독립변수
de|pendent |variable 종속변수

2. 0:10
And then they have a table here.
그리고 여기에 그래프에 대응하는 표가 있습니다.

3. 0:11
Looks like this table corresponds to this graph.
룩스 디스 테이볼 코레스판스 디스그래앱
correspond to …에/와 일치하다, 들어맞다

4. 0:14 0:13
when t equals 1, d is 40. when t is equal to 2, d is 80.

5. 0:18 0:19
So these points correspond / to points on / this line.
쏘디즈 포인츠 코레스판드 투 포인츠온 디스 라인
이 좌표들은 이 직선 위의 점에 대응합니다.
ㆍㆍㆍ
대응 1. 대책, 조치 : action, deal with, reapond (to), cope with, take action
2. 서로 짝을 이룸 : correspond to, be equivalent to

6. 0:22 0:23/ 0:26/ 0:29 0:31 0:33 / 0:35/ 0:37
And then they explain to us you are buying a gym membership.
The membership costs 40 dollars per month.
문제에서 체육관 회원권을 사는 데 한 달에 40달러라고 합니다.
In the graph and table above d is the number, total number of dollars that you pay for your gym membership.
인더그래픈 테이블버브 디 이즈 더넘버, 토를넘버러 딸러어샛 유 페이뽀유어 짐멤버쉽.
여기에서 d는 회원권을 사기 위해 지불해야 할 총 비용입니다.
So that's d right over there
and t is the time (in months) that you keep the membership.
t는 회원권을 유지할 기간(월)입니다.
구글 : T는 멤버십을 유지하는 기간(개월)입니다.

7. 0:40 0:41 0:42 / 0:45
Write an equation for the amount of money, d, that you pay for your gym membership / if you keep the membership for t months.
롸잇 언 이퀘이젼 뽀디 어마운터 머니 디,
방정식을 세워봅시다. d는 t달 동안 쓸 회원권을 위해 지불해야 할 비용입니다.

8. 0:47
And you see that here.

9. 0:48 0:50
If you're one month you pay 40 dollars. Two months you pay another 40 dollars, you pay 80 dollars.
투먼쮸 페이 나더뽀리 아쥬페 에이리 달러스
한 달이면 40달러, 두 달이면 총 80달러를 지불합니다.

10. 0:52
You see that in the graph right over here.
유씨 대린 더그래애프 롸잇오벌히얼
여기 그래프에서도 알 수 있습니다.

11. 0:54 0:55 / 0:57 / 0:59 1:00
you have 0 months, you pay nothing. 유해브 지로먼츠
Then 1 month, 40 dollars. The next month another 40 dollars getting you to 80.
더 넥스먼떠나더 뽀리달러스 게링유르 에이리
0번째 달에는 비용을 지불하지 않습니다.
첫 달에 40달러, 다음 달에 40달러를 내서 총 80달러가 됩니다.

12. 1:02 / 1:05 1:07
So if I were to write this as an equation, well the dependent variable here is the amount that I pay in dollars.
쏘빠워르 롸잇 디스 애전 이퀘이줜, 웰 더드펜든 뻬리어블 히얼 이지어 마운 떠라이 페이인 달러스
방정식으로 나타내보면 종속변수는 지불해야 할 비용이고,
amount 총액, 액수

13. 1:09
So that is going to depend on the time. 쏘 땟 이즈고잉투 디펜돈 더타임
비용은 기간에 따라 달라집니다.

14. 1:13
And how is it going to depend on the time in months?
앤하우즈 고잉 디페논 더타이민먼쯔
기간에 따라 어떻게 바뀔까요?

15. 1:15 / 1:18 1:20
Well, I'm going to pay 40 dollars per month.
웰 암고느 페이
Time's the number of months
타임스 더넘버러브먼쯔
한 달에 지불해야 할 비용이 $40이므로 $40 x 기간이 되겠군요.

16. 1:20 1:21 / 1:23 or1:25 1:27, 1:28
So I can either write it as 40 with a llittle asterisk sign,
쏘아이캔 이덜 롸이래즈 뽀리 위더리를 애스터릭 싸인
which is shift 8 or I could literally and then I put t there or I could literally put, just a t right over there.
위치이즈 쉬프(트) 에잇 오알큳 리러럴 엔덴 아이풋 티데얼 오얼아이큳 리러럴리 풋, 저스터 티 롸잇오버데얼
ㆍㆍㆍ
40 x t라고 쓸 수 있습니다. 곱하기 기호는 생략해도 됩니다.
ㆍㆍㆍ
asterisk 애스터리스크. 별표(*)
shift+8 : (컴퓨터 자판) *표시(asterisk sign)

17. 1:30
And I think that's right. 맞는 것 같군요.

18. 1:31 /어코링투 1:33 1:34
because if I, if my time is zero according to this table and according to this graph I pay nothing.
왜냐하면 0번째 달에는 표와 그래프에 따르면 지불할 비용이 0달러이기 때문입니다.
Graph 그래앱

19. 1:37, /1:38 1:39 / 1:41
if there was some initial membership charge, 이프데얼 썸미니셜 멤버'쉽 촤알쥐-덴
then maybe we would add that membership charge and you would pay the monthly fee after that.
-덴 메이비 위 욷 애드댓 멤버쉽 촤알지 유욷 페이더 먼뜰리 삐
만약 초기 회원권 비용이 있다면 월 비용과 함께 초기 비용도 지불해야 합니다.

20. 1:43 1:45
But here this looks about right that the dollars paid is equal to 40, 40 times the time in months.
벗히얼 디스 룩서바웃 롸잇트 댓디 딸러스페이드 이즈 이퀄투 뽀리,
하지만 여기에선 40x기간(달)만큼만 내면 됩니다.

21. 1:51
The time in months is the independent variable. 더타이민먼쯔 이즈 디 인드페는 베리어블
단위가 월인 기간은 독립변수이며

22. 1:54 1:53
It drives the dependent variable the number of dollars you pay.
잇 드라입서 디펜는 베리어블 더넘버오브 달러스 유페이
독립변수가 지불해야 할 비용인 종속변수를 좌우합니다.
.

[saarashikongo]

Thank you dear…. Keep up the good work

[rosenagarajan]

This is really helpful but what website do you use to practise these questions on?

[jessie]

So just to make sure, the independent variable can never be the y-axis, correct?

[wael.tap]

I always stuck when we must to convert the table into line graph, I don't always know the independent and dependent variable. Please give us a trick to use every time, but please make it true 100%, A way that always be true