Calculating Unit Rates: Filling a Swimming Pool with Water
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Questions and Answers

What is a unit rate?

  • A measure of the time it takes to fill a swimming pool
  • A measure of the total amount of something
  • A measure of the cost of filling a swimming pool
  • A measure of the amount of one unit it takes for something to happen in other units (correct)
  • What is the flow rate of the water hose in gallons per minute?

  • 12 gallons per minute
  • 10 gallons per minute
  • 3 gallons per minute
  • 6 gallons per minute (correct)
  • How many gallons of water have flowed into the pool after 60 minutes?

  • 240 gallons
  • 420 gallons
  • 300 gallons
  • 360 gallons (correct)
  • What is the flow rate of the high-pressure hoses in gallons per minute?

    <p>100 gallons per minute</p> Signup and view all the answers

    What is the purpose of using a unit rate in the context of the swimming pool?

    <p>To determine how long it will take to fill the pool</p> Signup and view all the answers

    What is the unit rate of a hose that fills 6 gallon jugs in one minute?

    <p>6 gallons per minute</p> Signup and view all the answers

    What is the average rate of speed if it takes 2 hours to drive 100 miles?

    <p>50 miles per hour</p> Signup and view all the answers

    What does the word 'per' mean in rates?

    <p>Divided by</p> Signup and view all the answers

    How did the police officer calculate the unit rate of the driver?

    <p>By dividing the distance by the time</p> Signup and view all the answers

    What was the driver's unit rate in the example?

    <p>70 miles per hour</p> Signup and view all the answers

    Study Notes

    What is a Unit Rate?

    • A unit rate is a measure of the amount of one unit it takes for something to happen in other units.

    Examples of Unit Rates

    • Miles per hour
    • Cost per item
    • Earnings per year
    • Gallons per minute (flow rate of a hose)

    Finding the Unit Rate

    • Take a defined period of time and measure the output during that time
    • Calculate the output per unit of time (e.g., gallons per minute)
    • Alternatively, measure how long it takes to do something that has a known quantity (e.g., driving 100 miles in 2 hours)

    Unit Rate Example

    • If it takes 3 hours to drive 210 miles, the unit rate is 70 miles per hour (210 miles ÷ 3 hours)
    • In this example, the unit rate is used to determine if someone was speeding (exceeding the 65 miles per hour speed limit)

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    Description

    Learn how to calculate unit rates by solving a real-world problem. You have a swimming pool that needs to be filled with water, but how long will it take? Use math to find the answer and impress your friends!

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