Exploring Ratios, Rates, and Proportions

This video tutorial covers the concepts of ratios, rates, and proportions. It explains how ratios compare two quantities using division and can be expressed in different forms. The video then introduces rates, which are ratios with different units, and provides examples to distinguish between the two. Proportions are discussed as statements of equality between two ratios, with methods to solve them. Finally, unit rates are explained as rates comparing a quantity to one unit of another, with examples of converting rates to unit rates.

What is a ratio?

• A comparison of three quantities using addition

• A comparison of two quantities using multiplication

• A comparison of two quantities using subtraction

• A comparison of two quantities using division

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

• Using a colon

• Using a semicolon

• Using the word 'to'

• As a fraction

What is the ratio of green fish to orange fish if there are 2 green fish and 5 orange fish?

• 2:5

• 2:7

• 5:2

• 7:2

If asked for the ratio of orange fish to total fish, and there are 5 orange fish and 7 total fish, what is the correct ratio?

• 5:2

• 7:5

• 2:5

• 5:7

What distinguishes a rate from a ratio?

• A rate compares quantities with the same units

• A rate uses addition instead of division

• A rate compares quantities with different units

• A rate is always written as a fraction

Which of the following is an example of a rate?

• 5 pounds to 2 dollars

• 10 boys to 12 girls

• 7 apples to 5 apples

• 3 feet to 4 feet

What is a proportion?

• A ratio with different units

• A comparison of three quantities

• A statement that two ratios are equal

• A unit rate

If 1 shirt costs $10, how much will 5 shirts cost at the same rate?

• $40

• $70

• $50

• $60

What is a unit rate?

• A ratio written as a fraction

• A rate that compares quantities with the same units

• A rate that compares a quantity to one unit of another quantity

• A comparison of three quantities

If 4 pounds of zucchini cost $9.60, what is the cost per pound?

• $2.00

• $2.20

• $2.40

• $2.60