Ratio: A ratio is a comparison of two quantities that have the same unit of measure.
Rate: A rate is a comparison of quantities measured in different units.
Proportion: A proportion is an equation which states that two ratios are equal. *A proportion has 2 equivalent fractions. ( ratios)*
Here is an example of all these.
Rate And Proportion:The red shows how they are equivalent which proves how this is a proportion statement.
The words on the side show the word ratio.
The blue is the rate of how much shirts I would get for 2 dollars. The whole statement is the proportion statement.
Ratio: This shows 3 starfishes to 4 pearls.
There are many ways to show this.
Like part to part ratios. 3:4, 4:3, or in words starfishes:pearls, pearls:starfishes.
Another one is part to whole or whole to part ratios.
3:7, 4:7. 7:3, 7:4.
Part to whole and whole to part ratios are when you compare the whole to a piece.
2)5 hours to travel 360 miles is about _____mph or miles per hour.
Sentence: 5 hours to travel 360 miles is about 72 mph.
How I Got My Answer
In order to get this answer, First I found the word ratios which were hours and miles. Secondly I put down the math information that fits into the problem into the right spaces, which were 5 hours so it goes beside hours and 360 miles beside miles. The 1 is what we are trying to find, which is how many miles per hour. Next I tried to find any relationships with the numbers and what i saw was 5 to 1, so 5 divided by 5 gets to one. So what you do to the top you do to the bottom. 360 divided by 5 = 72 miles which get your answer!
Question 2 B) 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.
Sentence: He should increase the orange juice to 250 ml.
How I Got My Answer
The way I got my answer to this question is actually the same concept of what I did in the first question just with different numbers and on my first explanation in the picture above. It is pretty much the same thing just that I saw an easier relationship between 20 and 100 rather than 20 and 50. It isn't wrong if you do it the other way it just takes longer to find the relationship between harder numbers.
3)What are the three ways you can prove that equivalent ratio statements are true?
3/4=12/16 or 4/9=16/32