Math Problem Statement
Solution
The activity sheet is asking you to determine whether each of the pairs of quantities is a rate, and if it is, convert it into a unit rate. Here's an explanation for each of the pairs:
-
5 humans to 10 hands
Not a rate (N) – This is a simple ratio because it's just a count of humans to their hands, not a measure per unit of time or quantity. It doesn’t require conversion to a unit rate. -
₱300 per 2 hours of work
Rate (R) – This is a rate because it's money per time unit (₱/hour).
Unit Rate: ₱300 ÷ 2 = ₱150 per hour. -
₱300 to 2 kg of rambutan
Rate (R) – This is a rate because it's cost per unit of weight (₱/kg).
Unit Rate: ₱300 ÷ 2 = ₱150 per kg. -
20 meters in 5 seconds
Rate (R) – This is a rate because it's distance per time (meters/second).
Unit Rate: 20 ÷ 5 = 4 meters per second. -
24 miles in every 8 hours
Rate (R) – This is a rate because it’s distance per time (miles/hour).
Unit Rate: 24 ÷ 8 = 3 miles per hour. -
₱30,000 in 3 square meters
Rate (R) – This is a rate because it’s money per area (₱/square meter).
Unit Rate: ₱30,000 ÷ 3 = ₱10,000 per square meter. -
60 seconds per minute
Not a rate (N) – This is not a rate because it's a conversion of time, not two different types of quantities. -
6 inches in half a ruler
Rate (R) – This is a rate because it's length per unit of measurement (inches per ruler fraction).
Unit Rate: 6 ÷ 0.5 = 12 inches per full ruler. -
**6 apples in 3
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Math Problem Analysis
Mathematical Concepts
Rates
Unit Rates
Ratios
Formulas
Rate = Quantity 1 / Quantity 2
Unit Rate = Rate ÷ Time or Quantity
Theorems
Concept of Unit Rate
Suitable Grade Level
Grade 7