Geometry and Rate Problems

This video tutorial covers various mathematical problems related to proportional relationships, including calculating time for ants to consume apples, mixing paint to create Jasper Green, determining airplane speed and distance, calculating strawberry costs, measuring Crater Lake's circumference and area, finding the area of a circle from a wire, and understanding scale copies of quadrilaterals.

How many days does it take for the ant farm to consume one apple?

• 18 days

• 6 days

• 9 days

• 3 days

If the ant farm eats half an apple in 3 days, how many apples can it eat in 9 days?

• 1.5 apples

• 2 apples

• 1 apple

• 3 apples

What is the ratio of green paint to black paint in Jasper Green?

• 1:4

• 2/3:4

• 4:2/3

• 4:1

How many quarts of green paint are needed for 4 cups of black paint?

• 24 quarts

• 16 quarts

• 20 quarts

• 28 quarts

What is the speed of the airplane in miles per second?

• 0.25 miles/sec

• 0.20 miles/sec

• 0.15 miles/sec

• 0.10 miles/sec

How far will the airplane travel in 30 seconds?

• 3.5 miles

• 4.0 miles

• 4.5 miles

• 5.0 miles

How long will it take the airplane to travel 12.75 miles?

• 75 seconds

• 80 seconds

• 90 seconds

• 85 seconds

What is the equation relating cost and pounds of strawberries?

• c = p + 1.38

• c = p / 1.38

• c = p - 1.38

• c = p * 1.38

How many pounds of strawberries were ordered if the cost was $241.50?

• 160 pounds

• 170 pounds

• 150 pounds

• 175 pounds

What is the circumference of Crater Lake?

• 16.27 miles

• 18.27 miles

• 15.27 miles

• 17.27 miles