Linear Relationships

4/16/2018

We started off the day with some beats and brainstormed ideas for our Spring Break Raps. We all wrote a rhyming pair and rapped it to the beat before getting into badminton in PE. After story we reviewed writing expressions to represent relations in linear patterns and then worked on an assignment. The afternoon consisted of music and preparing for the 3rd novel club meeting tomorrow.

1. Reminders & Homework:

Math: MATH FOCUS p.380-382
Be ready for your book club meeting tomorrow!
Gade 7 Celebration contribution!

2. Post A Response:

Give an example of a linear relationship in the world. It must be able to be plotted and graphed as a straight line.
Provide feedback on another post. Do you agree or disagree with the example given
If you can't think of an example or do not understand, please ask your classmates and they will help you.

Cooper

4/16/2018 04:39:28 pm

First

veer

4/16/2018 04:39:31 pm

first

VEER

4/16/2018 04:43:20 pm

SECCOND

Veer

4/16/2018 04:40:11 pm

https://www.youtube.com/watch?v=rFc4WcL6gY8https://www.youtube.com/watch?v=rFc4WcL6gY8https://www.youtube.com/watch?v=rFc4WcL6gY8https://www.youtube.com/watch?v=rFc4WcL6gY8https://www.youtube.com/watch?v=rFc4WcL

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Veer

4/16/2018 04:40:59 pm

THIS IS HOW I FEEL RIGHT NOW https://www.youtube.com/watch?v=rFc4WcL6gY8

VEER

4/16/2018 04:41:19 pm

WATCH IT

Roshin

4/16/2018 04:42:58 pm

4th

4/16/2018 04:43:31 pm

Coco

Veer

4/16/2018 04:43:54 pm

LOL

Coco

4/17/2018 09:02:04 am

Say you need flowers to give to your mother for Mother's Day. Daisy's grow 2cm everyday and you want them to 6cm in the end.

D = days

2d + 6

Variable: d
Coefficient: 2
Constant: 6

VEER

4/16/2018 04:44:56 pm

THI IS HOW I FEEL
https://www.youtube.com/watch?v=rFc4WcL6gY8

Roshin

4/16/2018 04:50:48 pm

Feels bad. 3 seconds

VEER

4/16/2018 04:54:21 pm

IF YOU GO ALL THE WAY UP THEN YOU CAN SEE THAT IVE BEEN HERE FOR A LOT LONGER SO YOUR ACTUALY AROUND 2 MINS AND 21 SECS AWAY FROM ME SO YA. AND YOU SAID YOUR MATH WAS GOOD. LOL 3 SECONDS

Roshin

4/16/2018 09:16:45 pm

@veer cooper beat you by 3 seconds not me

David

4/16/2018 04:45:30 pm

Fourth.

David

4/16/2018 04:45:53 pm

Scratch that.

Miikka

4/16/2018 04:57:48 pm

Centimeters to millimeters, inches to feet and meters to kilometers are all examples of linear relationships.
Another example is Celsius to Fahrenheit.

David

4/16/2018 05:02:54 pm

How am I able to graph it?

Mr Fisher

4/16/2018 05:06:06 pm

Making the graph is not part of the PAR.

Miikka

4/16/2018 05:52:48 pm

Sorry I need an example:
There is a leak in your tap. You want to figure out how much water leaks per minuteso your sink doesn't overflow. Let's say the sink can hold 6L of water. The tap leaks 5mL per minute.

n= number of minutes

Expression: 5n+6

Coefficient is 5mL
Constant is 6L
Variable is n

Question: you leave the tap running for 10 minutes. How much water leaked?

The expression would be 5 times 10 plus 6, which equals 56.

David

4/17/2018 08:39:50 am

I agree!

VEER

4/16/2018 04:59:43 pm

GOD DAM

I WAS GOING TO SAY THAT

VEER

4/16/2018 05:00:09 pm

Mr Fisher

4/16/2018 05:05:17 pm

Veer, that type of language is not appropriate.

VEER

4/16/2018 05:07:22 pm

sorry
won t say it again

David

4/16/2018 05:01:28 pm

Imagine a taxi. That's right, a big, yellow taxi with the driver speaking Martian. The taxi service charges you $50 for the pickup, and $2 for every kilometre.
Let x represent the amount of kilometres driven.
An expression to show this relationship could be 2x + 50, as for every kilometre, the cost is twice that.
A guide:
Coefficient- 2
Variable- x
Constant- 50

An example:
Bob needs to get to the airport, which is 50 km away, using this taxi service.
If we plug in 50, we'll get 100. We add that with the constant of 50, and we'll get the answer, which is $150 total. The country doesn't charge tax, so no need to worry.

David

4/16/2018 05:08:45 pm

A real-life example would be the exchange rate between currencies, such as the U.S. and Canadian dollars.

matt

4/16/2018 07:57:17 pm

I agree because that's what I said ;D

Lawrence

4/16/2018 08:40:21 pm

I agree David. Nice Job!

Miikka

4/16/2018 09:33:03 pm

I agree David. You have a really good example and explanation!

Lainey

4/16/2018 05:06:31 pm

6th

Lainey

4/16/2018 07:33:16 pm

Bob earns $400 a month from his job. He spends $200 for living expenses a month.

n= is the number of months

400n - 200 is the expression

400 is the coefficient; the constant is -200.

If Bob is saving up to go to university, which costs $5,000 a year, is 11 months going to be enough?

400 x 11 - 200 = $4,200 So no, it will not be enough. :((

Poor Bob.

Lainey

4/16/2018 07:38:24 pm

Whoops. Mistake here.

The expression should be:

(400 x 11) - (200 x 11) which actually equals $2,200

Lainey

4/16/2018 07:40:14 pm

Or (400n) - (200n) hopefully I was right...and it makes sense... >-<

veer

4/16/2018 05:12:51 pm

the rat of your hart beat on the monotor that you see in the hospatal

veer

4/16/2018 05:14:02 pm

the rate of your heart beat on the monoters that you see in the hospatals

Cooper

4/16/2018 05:16:41 pm

Kilobyte to megabyte and other ones like gigabyte to terabyte.

Mr. Fisher

4/16/2018 05:19:09 pm

Can anyone make a scenario? Maybe working for, or saving money? Can you include a constant in the scenario?

Be creative!

Aaron

4/16/2018 05:19:12 pm

There is a gigantic tub. It has 10 L of water in it. A guy decides to put more water into it. The water comes in through a hose 5 ml per minute.

n = number of minutes

Expression is 5n + 10

The constant is 10 . The numerical coefficient is 5 and the variable is n.

Example: The guy supposedly leaves the water running for 2 min. How many litres will be in the tub then?

The expression will be 5 x 2 + 10. Which is 20 litres.

Aaron

4/16/2018 05:22:46 pm

Oh a real life scenario would be when your filing up your bathtub and you need to know how full it would be after a certain time so it wouldn't over flow.

Mr. Fisher

4/16/2018 05:31:15 pm

This is great Aaron! Well done!

Aaron

4/16/2018 08:28:45 pm

Oops I meant 5L per minute

Lawrence

4/16/2018 05:43:04 pm

I don't really know any linear relationships in real life but I just thought of one that might make sense. When building like a skyscraper, they like do build like one level at a time and they have a time limit. Like for like one month they might do 2 levels in a month so month would be figure number and levels would be the # we change and we'll have the other thing for the # of things we have

Lawrence

4/16/2018 05:58:39 pm

I had no idea or inspiration for this post opps I think I screwed up sooo I'll try again later

Lawrence

4/16/2018 06:12:44 pm

A scientist was researching the growth of a bush, At the beginning when it was planted, it was at 3 ft. Next year it was at 4 ft. Finally ending off next year the bush ended at 5 ft.

X = Number
Coefficient =3
Constant=2
Expression= 2n

Jordan

4/16/2018 06:00:17 pm

There is this researcher who wants to find out how much a tree grows in a year. It started off at 5ft and the next year it was 3ft more which is 8ft. The next year it grows the same amount to 11ft.

n=number

Coefficient= 3

Constant=2

Expression= 3n+2

Jordan

4/16/2018 06:09:55 pm

REVISED

There is this researcher who wants to find out how much a tree grows in a year. It started off at 5ft and the next year it was 3ft more which is 8ft. The next year it grows the same amount to 11ft.

n=number/years

Coefficient= 3

Constant=2

Expression= 3n+2

Question: If you let the tree grow for 11years how much will it grow?
Answer: 3 times 11 + 3 = 36

Andrew

4/16/2018 06:48:43 pm

Say some one is saving up money for work. In the beginning, he starts off with 21 dollars. Then he gets 30 dollars an hour for his job.

N =hours

Expression 30n + 21

The constant for this equation would be 21. The coefficient would be 30 and n would be how many hours he worked.

Proof: say he worked for 3 hours, it would be 30 x 3 + 21. In total that would be 121 dollars in the 3 hours he worked.

Roshin

4/16/2018 07:07:21 pm

Someone wants a video game for 112 dollars and he gets 37 dollars each hour he works. The wage is increased by 1 dollar each time and he works for 3 hours

N=hours

Expression: 37n+1

Coefficient:37

Constant:1

Question: the guy wanted the video game and each hour he earned 37, 38 and 39 dollars. He had enough to buy it for 112 dollars. 37+38+39=114

Daniel

4/16/2018 11:11:09 pm

Instead of typing dollar couldn’t you use the dollar sign?$$$

matt

4/16/2018 07:53:57 pm

A taxi charges $5 for boarding fee and then an extra $2 for every kilometre.
Then it would be like 2n +5
The constant is the boarding fee which is 5
The coefficient is the change which is 2
The variable is every kilometre which is n

Tasia

4/16/2018 09:25:47 pm

Let's say that there is a guy named Joe. Joe, gets payed $10 a week from his mom if he does all of his chores. For any extra dishes he washes, he gets 5 cents per dish added to the money he receives.

N= Variable (number of weeks)
10= coefficient (money from full week of chores)
5= constant (extra money from dishes)

10n+5

Kaya

4/16/2018 09:40:35 pm

You can use linear equasions to predict stuff. For example, I have a garden in my backyard. If I record how much a plant grows in one spot and graph it, I can predict how much the same type of plant grows in the same spot. Does that make sense?? Not sure if that works but here.

Emily

4/16/2018 09:52:23 pm

To rent a bicycle from The Bicycle Shoppe, it costs $15 for the first hour, then $8 for every hour after that. To rent a bicycle from The Shoppe of Bicycles, it costs $10 every hour. Billy Bob Bimble wants to rent a bike for 7 hours, and wants to know which shop he should rent from if he wants to pay less money. Can you help him?

In this case we would find out the algebraic expression we can use to calculate cost from # of hours (for both shops) then plug in the information given to answer the question.

From The Bicycle Shoppe:
(Let n represent the number of hours)
The expression: 8n+10

From The Shoppe of Bicycles:
(Let n represent the number of hours)
The expression: 10n

Now, because Billy Bob Bimble wants to rent for 7 hours, let's plug that in to replace n.

From The Bicycle Shoppe:
The expression: 8n+10
8X7+10= 66
It will cost $66 to rent from The Bicycle Shoppe.

From The Shoppe of Bicylces:
The expression: 10n
10X7=70
It will cost $70 to rent from The Shoppe of Bicycles.

From this, Billy Bob Bimble should rent the bicycle from The Bicycle Shoppe. He'll save $4!

I hope this is right...

Eric N

4/16/2018 10:22:30 pm

i know its a bit late do ask but idk how to do this

Daniel

4/16/2018 11:09:14 pm

To rent a car from This company is definitely not a scam and for the first hour it only costs $64 but after that it only costs $63.99. To rent a car from Cheapest car dealership it cost $32 for the first hour and after that only $16 an hour. Francis Ajax wants to rent a car but lost his calculator so he needs to use mental math. For this problem use algebraic expressions to figure out the cost of the amount of hours for This company is definitely not a scam and Cheapest car dealership then use the answers to figure out the question.
For This company definitely isn’t a scam X will represent the number of hours. The expression would be 63.99X+64.
For Cheapest car dealership the expression is 16X+32. X is the number of hours for the amount of hours too.
Because Francis Ajax wants to use the car for 10 hours so he can keep driving until he falls asleep.
For This company is definitely not a scam the algebraic expression is 63.99X+64, 63.99 x 10= 639.9+0.01 because of the first hour costing 1 cent more. For this dealership it would cost Francis $640 for his strange use of time and a car.
For Cheapest car dealership the algebraic expression is 16X+32, 16x10=160+16 because of the first hour, so for this dealership it would cost $176 for his 10 hour long joyride.
As long as Francis isn’t completely dependent on a calculator he should easily realize that Cheapest car dealership is the cheapest car dealership of the 2 by $46.4 If I’m supposed to do more tell me and your welcome because you have commented on another students post.

Eric. Z

4/17/2018 12:47:28 am

If you wanted to calculate the growth of a tree. Lets say a tree A's leaf grow 4cm a day, but the trunk doesn't grow, so the constant will be the trunk. If the trunk was 1000cm, then the expression would be 4x + 1000. Now you want to compair it with tree B. Tree B's leaves grow 6cm a day, but it didn't have leaves on day 1 and the trunk is 900cm and increases by 50cm after day 1. The expression would be 6(x-1)+ 900 + 50(x-1). Compairing tree A and tree B, they will ne at the same height on day 3 but tree B get higher than tree A after day 3.

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Linear Relationships

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