Understanding Ratios and Rates

The video tutorial explains the concept of ratios as a comparison of two quantities by division, using examples of vegetables to illustrate part-to-part and part-to-whole ratios. It then introduces rates, which are similar to ratios but compare quantities with different units, such as dollars to vegetables. The video provides examples of rates, including a car's fuel efficiency and speed, and explains unit rates as comparisons to one unit. The tutorial concludes with a call to action for viewers to like and subscribe.

What is a ratio?

• A comparison of two quantities by addition

• A comparison of two quantities by division

• A comparison of two quantities by subtraction

• A comparison of two quantities by multiplication

How can the ratio of 3 bell peppers to 5 lemons be expressed?

• 3 to 5, 3+5, 3:5

• 3 to 5, 3-5, 3:5

• 3 to 5, 3/5, 3:5

• 3 to 5, 3*5, 3:5

Which of the following is NOT a way to express a ratio?

• Using a percentage

• Using a colon

• Using a fraction

• Using words

What does a part-to-part ratio compare?

• A whole to a whole

• A part to another part

• A whole to a part

• A part to a whole

How can a part-to-whole ratio be expressed?

• 5 lemons to 3 bell peppers

• 3 bell peppers to 8 total vegetables

• 8 total vegetables to 3 bell peppers

• 3 bell peppers to 5 lemons

Which of the following is an example of a part-to-whole ratio?

• 5 lemons to 3 bell peppers

• 3 bell peppers to 8 total vegetables

• 8 total vegetables to 5 lemons

• 3 bell peppers to 5 lemons

What is the difference between a part-to-part and a part-to-whole ratio?

• Part-to-part compares two totals, part-to-whole compares a part to a part

• Part-to-part compares two parts, part-to-whole compares a part to the total

• Part-to-part compares a part to the total, part-to-whole compares two parts

• Part-to-part compares a part to a part, part-to-whole compares two totals

What distinguishes a rate from a ratio?

• A rate is always expressed as a fraction

• A rate compares quantities with different units

• A rate is always expressed with a colon

• A rate compares quantities with the same units

Which of the following is an example of a rate?

• 3 apples to 5 oranges

• 60 miles using 2 gallons of gas

• 3/5

• 3:5

Which of the following is a correct expression of a rate?

• 3/5

• 3:5

• 3 to 5

• 60 miles per 2 gallons