Rates and Linear Equations

The video tutorial by Mr. Schenkel covers Grade 8 Module 4 Lesson 11 of Eureka Math. It introduces linear equations and demonstrates their application through various real-world examples, including mowing a lawn, water flow from a faucet, typing speed, painting rate, and walking speed. Each example involves setting up a ratio, forming a linear equation, and using it to calculate outcomes. The video also includes graphing these equations to visualize the relationships.

If Pauline mows a lawn at a constant rate of 14 square feet per minute, how much area will she mow in 5 minutes?

• 70 square feet

• 140 square feet

• 50 square feet

• 35 square feet

If Pauline mows 35 square feet in 2.5 minutes, what is her mowing rate in square feet per minute?

• 14 square feet/min

• 12 square feet/min

• 10 square feet/min

• 15 square feet/min

What is the linear equation for the volume of water flowing from a faucet at a rate of 3.5 gallons per minute?

• v = 10.5t

• v = 2.5t

• v = 5t

• v = 3.5t

How many gallons of water will flow from the faucet in 6 minutes if the rate is 3.5 gallons per minute?

• 21 gallons

• 18 gallons

• 22 gallons

• 20 gallons

Juan types at a constant rate of 2/7 pages per minute. How many pages will he type in 14 minutes?

• 4 pages

• 2 pages

• 6 pages

• 4.5 pages

If Juan types 1 page in 3.5 minutes, how many pages will he type in 7 minutes?

• 1.5 pages

• 2 pages

• 2.5 pages

• 3 pages

Emily paints at a rate of 6.4 square feet per minute. How much area will she paint in 3 minutes?

• 19.2 square feet

• 18 square feet

• 20 square feet

• 21.2 square feet

Emily paints 32 square feet in 5 minutes. What is her painting rate in square feet per minute?

• 6.4 square feet/min

• 5.5 square feet/min

• 7 square feet/min

• 6 square feet/min

What is the linear equation for Joseph's walking speed if he covers 0.5 miles in 6 minutes?

• m = 1/12t

• m = 1/6t

• m = 1/10t

• m = 1/8t

If Joseph walks 0.5 miles in 6 minutes, how far will he walk in 12 minutes?

• 1.5 miles

• 1.2 miles

• 0.8 miles

• 1 mile