Real-World Applications of Ratios and Proportions

This lesson revisits proportional relationships, focusing on the constant of proportionality (K value) to solve various problems. It covers setting up equations and proportions, applying these concepts to real-world scenarios, and concludes with homework exercises to reinforce learning.

What is the constant of proportionality if a recipe requires 1 cup of flour for every 0.5 cups of sugar?

• 1

• 1.5

• 2

• 0.5

How much would 50 feet of rope cost if 6 feet costs $7.50?

• $50.00

• $75.00

• $62.50

• $60.00

If Tyler swims 5 meters every 4 seconds, how long will it take him to swim 20 meters?

• 12 seconds

• 20 seconds

• 10 seconds

• 16 seconds

What is the constant of proportionality for a factory that produces 3 bottles of sparkling water for every 8 bottles of plain water?

• 3/8

• 3

• 1/3

• 8/3

How much white paint is needed to mix with 4 quarts of blue paint if the original ratio is 0.5 quarts of blue to 5 quarts of white?

• 12 quarts

• 13.33 quarts

• 15 quarts

• 10 quarts

What is the equation for the distance traveled by an airplane flying at 0.15 miles per second?

• D = 0.015T

• D = 1.5T

• D = 15T

• D = 0.15T

How many days will it take an ant farm to consume 3 apples if it takes 3 days to consume half an apple?

• 15 days

• 18 days

• 9 days

• 12 days

What is the circumference of a circle with a diameter of 5.5 miles?

• 16.5 miles

• 18 miles

• 15.7 miles

• 17.27 miles

If a wire is bent into a circle with a circumference of 50 cm, what is the area of the circle?

• 200 cm²

• 175 cm²

• 198 cm²

• 150 cm²

Are two squares necessarily scale copies of one another?

• Yes, because they have the same area

• No, because they can have different side lengths

• No, because they have different perimeters

• Yes, because all sides are equal