Samantha's Proportion Post

Task One

Ratio- shows the comparison of two or more value that has the same units

The image beside shows an example of a ratio, it can be shown three ways:

3/4, 3:4, three compared to four

Rate- a comparison of two quantities in different units

For example 3 apples cost $1.50, how much would 1 cost?

The answer would be $0.50, the rate would be 1/$0.50

Proportion- an equation which states that two ratios are equal

An example would be, Trevor runs 25km in 10 minutes, how long would it take for 100km?

Task Two

1) 5 hours to travel 360 miles is about 72 mph

hours 5 (÷5) 1

miles 360 (÷5) 72

2) As a playgroup worker, if I increase the amount of apple juice I am serving at the playgroup from 25 ml to 100 ml, how much should I increase the the orange juice to, to keep the quantities in the same proportion? The orange juice is 50 ml to start with.

apple juice 25ml (x4) 100ml The worker needs to increase 50ml to 200ml.

orange juice 50ml (x4) 200ml

Task Three

What are the three ways you can prove that equivalent ratio statements are true?

3/4 = 12/16 The first way is horizontal, the next is crisscross and last is vertical.

Task Four

Task Five

1)Do you think this is fair?

No, this doesn't see fair at all.

2) With what you know about proportion look and read what is in the image above. Does it seem just and fair? Why have you made this choice?

I don't think this is fair because if you were to compare the amount of money in a proportion statement, the CEO has technically stole way more. Since the amount stolen by the CEO is very high, his jail time should be high as well, but this man didn't steal as much but he got put in jail for an unreasonable amount of time. Just because this man was homeless and a different race does not mean he should get a longer amount of time in jail, it should matter on how much they stole!

3) What would you have done if you were the judge?

If I were to be the judge of this case, I would have sentenced the opposite way or maybe even worst for the CEO. The man in the image should have only gotten the 40 months in jail and the CEO should have gotten the 15 years in jail.