Map Scales and Unit Rates

The video tutorial covers lesson 7.2 from the 6th grade Go Math textbook, focusing on solving various problems using ratios and unit rates. It includes practical examples such as map scales, punch recipes, airplane seating, and bicycle ride analysis. The tutorial also discusses unit rates and graphing relationships between distance and time.

What is the main focus of Lesson 7.2?

• Algebraic equations

• Independent practice problems

• Geometry concepts

• Statistics and probability

If the actual distance is 72 miles and it measures 6 inches on the map, what is the scale of the map?

• 1 inch = 10 miles

• 1 inch = 12 miles

• 1 inch = 15 miles

• 1 inch = 18 miles

How far is Fosston from West Coal if it is 2 inches on the map?

• 30 miles

• 24 miles

• 12 miles

• 18 miles

In a punch recipe, if the ratio of pineapple juice to total punch is 4 to 24, how many cups of pineapple juice are needed for 108 cups of punch?

• 20 cups

• 16 cups

• 18 cups

• 12 cups

How many servings can be made from 108 cups of punch if 24 cups make 18 servings?

• 54 servings

• 90 servings

• 72 servings

• 81 servings

If there are 150 seats on a plane with a 2:5 ratio of left to total seats, how many seats are on the left side?

• 60 seats

• 80 seats

• 50 seats

• 70 seats

On Cary's map, if 1 inch equals 20 miles, how far is Greenville from North Valley if they are 4.5 inches apart?

• 90 miles

• 70 miles

• 80 miles

• 60 miles

How many feet of ribbon can a machine produce in one hour if it makes 27 inches every 3 minutes?

• 55 feet

• 60 feet

• 45 feet

• 50 feet

What is Marta's unit rate in miles per minute if she traveled 8 miles in 80 minutes?

• 0.2 miles/minute

• 0.15 miles/minute

• 0.1 miles/minute

• 0.05 miles/minute

How long does it take the boat to reach the bridge if it travels 10 miles at a constant speed of 2.5 miles every 20 minutes?

• 90 minutes

• 80 minutes

• 70 minutes

• 60 minutes