Math Problem Statement

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.

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:

  1. 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.

  2. ₱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.

  3. ₱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.

  4. 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.

  5. 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.

  6. ₱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.

  7. 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.

  8. 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.

  9. **6 apples in 3

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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