Math Problem Statement

Identify whether each of the given quantities is a rate or not, and convert to unit rate if applicable.

Solution

Let's go through the items on the worksheet and check whether each one represents a rate, and if so, convert it to a unit rate:

  1. 5 humans to 10 hands

    • Not a rate (N)
      This is a simple ratio, not a rate involving two different units. Humans and hands are directly related in a fixed ratio.
  2. P300 per 2 hours of work

    • Rate (R)
      The unit rate is P3002 hours=P150\frac{P300}{2 \text{ hours}} = P150 per hour.
  3. P300 to 2 kg of rambutan

    • Rate (R)
      The unit rate is P3002 kg=P150\frac{P300}{2 \text{ kg}} = P150 per kilogram.
  4. 20 meters in 5 seconds

    • Rate (R)
      The unit rate is 20 meters5 seconds=4 meters per second\frac{20 \text{ meters}}{5 \text{ seconds}} = 4 \text{ meters per second}.
  5. 24 miles in every 8 hours

    • Rate (R)
      The unit rate is 24 miles8 hours=3 miles per hour\frac{24 \text{ miles}}{8 \text{ hours}} = 3 \text{ miles per hour}.
  6. P30,000.00 in 3 square meters

    • Rate (R)
      The unit rate is P30,0003 m2=P10,000\frac{P30,000}{3 \text{ m}^2} = P10,000 per square meter.
  7. 60 seconds per minute

    • Not a rate (N)
      This is a definition, not a rate, as seconds and minutes are both units of time.
  8. 6 inches in half ruler

    • Not a rate (N)
      This is a measurement of length, not a rate.
  9. 6 apples in 3 every oranges

    • Rate (R)
      The unit rate is 6 apples3 oranges=2 apples per orange\frac{6 \text{ apples}}{3 \text{ oranges}} = 2 \text{ apples per orange}.
  10. 15 candies in every P60.00

    • Rate (R)
      The unit rate is 15 candiesP60=0.25 candies per peso\frac{15 \text{ candies}}{P60} = 0.25 \text{ candies per peso}.

Would you like further details or explanations on any of these? Here are five related questions to deepen your understanding:

  1. How do you differentiate between a ratio and a rate?
  2. Can you find another example of a rate involving distance and time?
  3. How would you convert a rate of 5 miles per hour to kilometers per hour?
  4. Why is "60 seconds per minute" not considered a rate?
  5. How can we interpret unit rates in real-life scenarios, such as in shopping or travel?

Tip: Always simplify rates to their unit form, which makes comparisons and applications easier.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Ratios
Rates
Unit Rates

Formulas

Rate = Quantity 1 / Quantity 2

Theorems

-

Suitable Grade Level

Grades 6-8