Real-World Applications of Ratios and Rates

The video tutorial covers various mathematical concepts through practical examples. It starts with explaining the ratio of blue to red paint and how to represent it in a table. Then, it introduces an equation for calculating the time taken to read books. The tutorial also compares the speeds of two bikers using graphs and analyzes their performance. It further explores the comparison of hourly wages using equations. Finally, it discusses a cup stacking contest, analyzing the speed of stacking cups and how to improve it.

If the ratio of blue to red paint is 1:2, how many cups of red paint are needed for 5 cups of blue paint?

• 5 cups

• 10 cups

• 15 cups

• 20 cups

What is the equation that represents the relationship between the number of books and days if 3/4 of a book is read per day?

• D = B/3

• B = D/4

• B = 3/4D

• D = 3/4B

How many days will it take to read 3 books if 3/4 of a book is read per day?

• 2 days

• 3 days

• 4 days

• 2.25 days

What is Brian's biking speed if he covers 75 miles in 3 hours?

• 35 mph

• 30 mph

• 25 mph

• 20 mph

If Shanice wants to beat Brian's speed of 25 mph, what should her minimum speed be?

• 20 mph

• 30 mph

• 25 mph

• 26 mph

What is Tice's hourly wage if he earns $34.50 in 3 hours?

• $10.50

• $11.00

• $11.50

• $12.00

Who earns more per hour, Braylon or Tice?

• Not enough information

• They earn the same

• Tice

• Braylon

How many cups can Claire stack in one second?

• 5 cups

• 4 cups

• 6 cups

• 3 cups

If Kate wants to stack faster than Claire's rate of 5 cups per second, what should her new rate be?

• 4 cups/sec

• 7 cups/sec

• 5 cups/sec

• 6 cups/sec

What is the formula for Kate's stacking rate if she stacks 4 cups per second?

• C = 6T

• C = 5T

• C = 4T

• C = 7T