Rain's Proportion Post

Part 1
Defining ratios, rates, and proportions.


Ratio
A ratio is a relationship between two quantities.

An example:

The ratio of 

Bunnies:Cats

is 2 : 1   

Cats:Bunnies is 

1 : 2

Rate

Is kind of like a ratio between two quantities with different units.

An example:

A boat sails 40km in an hour is a rate for the distance a boat travels.

Proportion

Is two equivalent ratios, fractions or rates. 

An example:

Rain defeats 6 Pokémon in 12 minutes.

A proportion to that is 1 Defeated every 2 Minutes

Part 2

1) 5 hours to travel 360 kilometers is about 72km/h.

2) Emma saves 28 cents of every dollar that she earns.  Emma earned $75 last week.  How much money did Emma save last week?

Cents saved : Total money earned

Part 3

What are the three ways you can prove that equivalent ratio statements are true...
For 3/4 = 12/16  and 4/9 = 16/32.
You can solve the problem using horizontal method, cross method and the baseball bat method. 

The other fraction, 4/9 = 16/32 are not equivalent fractions because I've tried the three methods above and they haven't worked on this proportion.

Part 4

Part 5

1. Does this seem fair? 
In my opinion, it's not fair to make someone spend 15 years in prison for stealing something then surrendering. Because in the end he was true and honest.
 2.With what you know about proportion look and read what is in the image above.  Does it seem just and fair?
No, because he was given three stacks of bills but he only took $100. 15 years in prison isn't fair, especially since he surrendered at the end.
3. Why have you made this choice? 
Because this guy's actions were of good intention. He needed the money then confessed after he felt guilty.
4.What would you have done if you were the judge?
I would have taken off 13 years off his time in prison, at the very least, because he only took $100 out of three stacks. 

Bonus

Q: How tall are the trees?
A: I estimated the kid (Who looks about 12 years old) to be about 5ft tall.
I used my thumb to indicate how many kids it would take to reach the height of one of the trees. 
It takes about 3 and a half kids. 
5 x 3.5 = 17.5
So the trees are about 17.5 ft