## Sunday, October 14, 2012

### Patricia B's Proportion Post

Part 2
1. 5 hours to travel 360 kilometers is about 72 km/h. Kilometers/Hour= 360/5 = X/hour. I cross multiplied diagonally and got this: X*5 = 360x1. I got rid of 5 by dividing it by 5 and I also did the same thing to the right side. It looked like this: X*5/5 = 360x1/5. X = 360x1/5. X=360/5 and then I finally got the answer. X = 72 kilometers/hour.
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 last week. Cents/\$ = 0.28/\$1.00 = X/\$75.00. I cross multiplied diagonally and it looked like this: X *\$1.00=  \$0.28x\$75.00. To get rid of the dollar beside the variable, I divided both sides by 1/dollar. X*\$1.00/\$1.00 = \$0.28x75/\$1.00. So now I'm left with X= \$0.28x\$75.00/\$1.00. X= \$21.00/\$1.00 is equal to \$21.00.
Part 3
What are the three ways you can prove that equivalent ratio statements are true?
3/4 = 12/16  or 4/9 = 16/32 <--- (This is false because it should be 16/36)

Cross Multiply-
Example:

Converting to lowest term-

Multiplying both the numerator and the denominator with the same number (I'm talking about 3/4 and 4/9 in this case to be multiplied by 4).

Part 4

Part 5

1. Does this seem fair? No, it isn't.
2. With what you know about proportion look and read what is in the image above.  Does it seem just and fair? No.
3. Why have you made this choice? I think it's unfair because the homeless man stole \$100.00 from the bank but surrendered voluntarily unlike the CEO of the Mortgage who stole \$3 billion from his work and is only sentenced 3 years of being in jail. Using ratio and proportion, the poor man's life was judged to be worth only \$6.67 per year (\$100.00/15 years) while the rich man's life was worth \$1 billion per year (\$3 billion/3 years).
4. What would you have done if you were the judge? I would've punished the CEO and the people that were part of it more by sentencing them 7 years instead of 3 and sentence the homeless man for only 1 year of jail time instead of 15 years because it's still wrong to steal.

Bonus
How tall is the tree on the right side of the 5'6'' boy?
I measured the boy with a ruler and got 50 mm and I also measured the tree and got 160 mm + 10 mm because it went off the picture.  The boy is approximately 5'6'' tall but I converted 6 inches into feet and I got 5 6/12 or 5.5 feet tall. Here's what I did.

The tree is approximately 18.7 feet tall.