COMPARING only unit rates EXAMPLES PLEASE
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UNIT RATES USING PORPORTIONS
COMPARING RATES ONLY USING PORPOTIONS
Sure! A unit rate is a comparison of two different quantities that have different units of measurement. It tells us the rate of change for one unit of a quantity in relation to another unit.
Here are a few examples of comparing unit rates:
Example 1: Grocery Shopping
Let's say you want to compare the unit prices of two different brands of cereal. Brand A sells a 16-ounce box for $3.50, while Brand B sells a 20-ounce box for $4.50.
To find the unit rate, you need to calculate the cost per ounce for each brand.
For Brand A:
Unit price = Cost / Quantity
Unit price = $3.50 / 16 ounces
Unit price = $0.22 per ounce
For Brand B:
Unit price = Cost / Quantity
Unit price = $4.50 / 20 ounces
Unit price = $0.225 per ounce
Comparing the unit rates, we can see that the unit price for Brand A is $0.22 per ounce, while Brand B has a unit price of $0.225 per ounce. Therefore, Brand A has the lower unit rate for cereal.
Example 2: Fuel Efficiency
Let's consider comparing the fuel efficiency of two cars. Car A can travel 300 miles on 15 gallons of gas, while Car B can travel 350 miles on 20 gallons of gas.
To find the unit rate, you need to calculate the mileage per gallon for each car.
For Car A:
Unit rate = Miles / Gallons
Unit rate = 300 miles / 15 gallons
Unit rate = 20 miles per gallon
For Car B:
Unit rate = Miles / Gallons
Unit rate = 350 miles / 20 gallons
Unit rate = 17.5 miles per gallon
Comparing the unit rates, we can see that Car A has a fuel efficiency of 20 miles per gallon, while Car B has a fuel efficiency of 17.5 miles per gallon. Therefore, Car A has the higher unit rate for fuel efficiency.
In both these examples, we compared the unit rates by calculating the cost per unit for one item and then comparing the values. This method can be applied to various real-life scenarios where you need to compare different quantities with different units.