Map Scales and Proportionality Concepts

The video tutorial covers the concept of constant proportionality through various examples, including running distances, metric conversions, and map scales. It explains how to calculate distances and times at a constant speed, interpret metric units, compare inches and feet, determine map scales, identify equivalent scales, and analyze picture ratios using proportionality.

If Noah runs at a constant speed of 6 miles per hour, how far will he run in 1.5 hours?

• 12 miles

• 6 miles

• 9 miles

• 15 miles

What is the constant of proportionality between kilometers and meters?

• 10,000 meters per kilometer

• 100 meters per kilometer

• 1000 meters per kilometer

• 1 meter per kilometer

How many meters are there in 3/10 of a kilometer?

• 30 meters

• 300 meters

• 3000 meters

• 30,000 meters

If 1 kilometer equals 1000 meters, how many meters are in 5 kilometers?

• 500 meters

• 50,000 meters

• 5000 meters

• 50 meters

Jada claims there are 12 inches in a foot. What is the constant of proportionality she is referring to?

• 12

• 1

• 1/12

• 24

If 1 inch equals 12 inches, what is the constant of proportionality in feet per inch?

• 1/2

• 1

• 12

• 1/12

If a map scale is 1 inch to 50 miles, how many square miles does 10 square inches represent?

• 250 square miles

• 500 square miles

• 25,000 square miles

• 2,500 square miles

What is the scale of a map if 10 square inches represent 25,000 square miles?

• 1 inch to 250 miles

• 1 inch to 100 miles

• 1 inch to 50 miles

• 1 inch to 25 miles

Which of these scales is equivalent to 1 cm to 5 km?

• 1 mm to 500 m

• All of the above

• 3 cm to 15 km

• 5 mm to 2.5 km

Which picture is different based on the given ratios?

• Picture L

• Picture M

• All are the same

• Picture N