Rates and Proportions Problems

This video tutorial covers the concept of constant rate and its application in solving real-world problems. It includes examples such as mowing a lawn, water flow from a faucet, typing speed, painting rate, and walking distance. Each example involves setting up and solving linear equations, using proportions, and graphing results to understand the relationship between variables.

If Pauline mows 35 square feet in 2.5 minutes, how much can she mow in 10 minutes?

• 70 square feet

• 35 square feet

• 100 square feet

• 140 square feet

What is the constant rate of mowing in square feet per minute if Pauline mows 35 square feet in 2.5 minutes?

• 8 square feet/min

• 12 square feet/min

• 14 square feet/min

• 10 square feet/min

How many gallons of water flow from the faucet in 10 minutes if 10.5 gallons flow in 3 minutes?

• 35 gallons

• 30 gallons

• 25 gallons

• 20 gallons

What is the constant rate of water flow in gallons per minute?

• 2.5 gallons/min

• 3 gallons/min

• 4 gallons/min

• 3.5 gallons/min

If one can type a full page in 3.5 minutes, how many pages can be typed in 10.5 minutes?

• 2 pages

• 3 pages

• 5 pages

• 4 pages

What is the typing speed in pages per minute?

• 0.29 pages/min

• 0.35 pages/min

• 0.25 pages/min

• 0.20 pages/min

Emily paints 32 square feet in 5 minutes. How much can she paint in 40 minutes?

• 320 square feet

• 200 square feet

• 256 square feet

• 160 square feet

What is Emily's painting rate in square feet per minute?

• 7 square feet/min

• 5.5 square feet/min

• 8 square feet/min

• 6.4 square feet/min

If Joseph walks 0.5 miles in 6 minutes, how long will it take him to walk 4 miles?

• 72 minutes

• 60 minutes

• 80 minutes

• 48 minutes

What is Joseph's walking speed in miles per minute?

• 0.05 miles/min

• 0.1 miles/min

• 0.083 miles/min

• 0.075 miles/min