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### Course: 6th grade (Illustrative Mathematics)>Unit 3

Lesson 2: Lesson 5: Comparing speeds and prices

# Comparing rates example

A conservationist thinks that squirrels exhibit higher aggression rates when crowded together. To test this, they compare three parks with different squirrel populations and areas. By calculating squirrels per hectare, they find Park C to be the most crowded, followed by Park B and Park A. The conservationist expects the highest aggression rate in Park C due to its crowdedness.

## Want to join the conversation?

• is 25% the same thing as 1/4
• yes! think about it like this, 25 cents is 1/4 of a dollar. because 25+25+25+25= 100, or 25x4= 100! <3
• I am dreadfully confused... Does anyone know a simpler way of doing this?
• Equivalent rates can be used to compare different sets of quantities that have the same value. A rate that compares a quantity to one is called a unit rate. The unit rate has a denominator equal to one when written as a fraction. Unit rates can be used to find larger equivalent rates.
• how is 8 larger than 8 1/3?
• I have to say... the problem is a little vague with it's wording. They seem to be ordering the tanks based on the number of fish in the tank, but doing it by looking at the rates: liters of water per fish. In this situation, the more water needed for 1 fish means the fewer fish you can put in that tank.
Thus: 8 1/3 liters / fish has more water than 8 liters / fish. Thus there are fewer fish in the tank with the 8 1/3 liters / fish.
Hope this helps.
• When Sal divided 100/12, how did he get 8 1/3?
• So 12 times 8 would be equal to a total of 96. It can’t be any larger, or it wouldn’t fit in the amount of 100. The remainder that you get after that would be 4. However, since the denominator is 12, you would get 4/12, which is equal to 1/3. That gives you 8 1/3.
• Does it matter which order you write it in?
• Yes it does because writing the rate backwards changes the value of the rate.
• IS 25% the same as 1/4?
• Yes, it is. For example, if you multiply the numerator by 25 and the denominator by 25, you get 25/100, or 0.25 which is 25%. Of course, you can also think of it as quarters which are \$0.25 and you need 4 of them for \$1, so one quarter would be 1/4. Hope you have a great day!
• How do you know when to divide
• huh?. ..HUh?How do u solve
• What is a hectare?
• A hectare is a metric unit of measurement that has 100 by 100 sides in side length and is equal to 2.471 acres. Hectares are very large, as one acre is about the size of an (American) football field. So two football fields would be about one hectare.
TL;DR its a unit of measurement
• what is the ratio of area to the number of squirrels