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# 4.2 Unit Rates and Proportional Reasoning PowerPoint PPT Presentation

4.2 Unit Rates and Proportional Reasoning. I can find unit rates and unit costs using proportional Reasoning. Rates. Ratios comparing two quantities measured in different units. Ex: Miles per hour (distance and time). Unit Rate. Rate for one unit of a given quantity

4.2 Unit Rates and Proportional Reasoning

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## 4.2 Unit Rates and Proportional Reasoning

I can find unit rates and unit costs using proportional Reasoning

### Rates

Ratios comparing two quantities measured in different units.

Ex: Miles per hour (distance and time)

### Unit Rate

• Rate for one unit of a given quantity

• To find a unit rate, divide the first quantity by the second.

• Ex: there are 15 grams of fat in 5 servings of canned soup.

• What is this expressed as a rate?

• What is the unit rate? That is, how much per 1 serving?

• 3 grams per serving

### You try!

Find the unit rate for 210 heartbeats in 3 minutes.

70 beats per minute

Units need to be included

### Finding a Unit Rate with Fractions

• Cindy walks of a mile in of an hour. What is her speed?

• Hint (Miles per hour)

• Number of miles divided by number of hours

• miles per hour

### Unit Cost

A unit rate that gives cost per unit

Divide total cost by number of items or units in the item.

You can compare prices using unit costs.

Ex: Which size of shampoo is the better