Understanding Rates and Ratios

Mrs. D introduces ratios and rates, explaining how to write and reduce ratios, and how to calculate unit rates. The video includes examples and practice problems to reinforce understanding. Ratios compare two items, while rates compare different units. Unit rates are calculated by dividing to find the rate per one unit. The video concludes with a summary of key points.

What is a ratio primarily used for?

• Determining the weight of an object

• Calculating the cost of an item

• Measuring the speed of a vehicle

• Comparing two items or quantities

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

• Using the word 'to'

• Using a semicolon

• Writing it as a fraction

• Using a colon

How can you simplify the ratio 2:6?

• 1:3

• 3:1

• 2:3

• 1:2

What distinguishes a rate from a ratio?

• A rate uses multiplication

• A rate is written with a semicolon

• A rate is always larger

• A rate compares different units

If John drives 142 miles in 2 hours, what is his average speed?

• 35.5 miles per hour

• 284 miles per hour

• 142 miles per hour

• 71 miles per hour

What is the purpose of finding a unit rate?

• To compare two unrelated items

• To measure the weight of an item

• To increase the total amount

• To find the rate of one unit

How would you write the ratio of 15 boys to 12 girls using a colon?

• 15-12

• 12:15

• 15:12

• 12-15

What is the reduced form of the ratio 15:12?

• 5:4

• 2:3

• 4:5

• 3:2

If a 24-ounce cereal box costs $2.88, what is the cost per ounce?

• $0.24

• $0.15

• $0.10

• $0.12

Why might larger cereal boxes offer a better price per ounce?

• They are more popular

• They often have a lower cost per unit

• They have more packaging

• They are always on sale