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 (C)</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 (A)</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 (D)</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 (C)</p> Signup and view all the answers

What does the word 'per' mean in rates?

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

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

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

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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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