## Sunday, October 14, 2012

### Jullenne's Proportion Post 8 - 16

1. Definitions:::

Ratio - A ratio shows the relative sizes of two or more values
eg. Word ratio - b:g (boys and girls)
ratio - 1:2 ( for every one boy, there are 2 girls)

- Ratio Table

Rate - Rate compares two quantities measured in different units.
eg. 72 beats per minute or 72beats/min, in a heart rate.

Proportion - A proportion is equivalent fractions, ratios and rates.
eg. 2/4 = 4/8, 3:6 = 6:12, etc.

2. Unit Rate:

-1. 5 hours to travel 360 km is about 7.2km/h
How:           ÷ 5
360 = 7.2
5         1
÷ 5

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

Emma saved \$21.00 from her \$75.00, she earned last week.

How: \$0.28 x \$75.00 = \$21.00

3. Equivalent fractions:
- Whatever you do to the top, you do to the bottom.
x4                   x4
3 = 12            4 = 16
4    16            9    32 (36)    - this is actually wrong, if I were to put 9 x 4 it would equal 36. So technically it
x4                   x4              should be 36 not 32.

4.

5.

- Does this seem fair? It is not fair because it wasn't a fair decision, for the man.

- Does it seem just and fair? It is not fair because if he were to be sentenced to 15 years of jail it would have been  serving a first degree murder or kidnapping, but he only stole one, one hundred dollar bill which he surrendered only the day after, it should be only a year.

- I think it is unfair because, even though he stole a hundred dollar bill, he still voluntarily surrendered only a day after.

- What would you do if you were the judge?
- I would've only sent him to 1 year in jail because he did surrender on his own and he used the money for himself to survive, not for selfish reasons.
- I'd sentence him for only 1 year because even though he did not use the money for bad reasons, it was still first degree robbery.

Bonus Question:

The question I came up with is:
How many people would you need to duplicate the height of the trees.

I measured the trees first and the height I came up with, was 17 cm.
I then measured the man which was 5.6 cm.

To get to 17, I first multiplied 5.6 by 3 and got 16.8.

I was 2 mm off of the measurement.

It takes around 3 people, or a little more, to duplicate the height of the trees.