Constant Rate Problems and Equations

This video lesson covers the concept of constant rate in eighth grade Eureka Math. It includes two examples: Pauline mowing a lawn and water flowing from a faucet, demonstrating how to solve problems using constant rate equations. The lesson also provides exercises for practice, a summary of key points, and instructions for homework.

What is a constant rate?

• A rate that remains the same over time

• A rate that changes over time

• A rate that increases over time

• A rate that decreases over time

In the example of Pauline mowing a lawn, what is the constant rate of mowing?

• 2.5 square feet per minute

• 35 square feet per minute

• 14 square feet per minute

• 10 square feet per minute

How do you solve for the unknown in a constant rate equation?

• By using the multiplication property of equality

• By dividing the numerators

• By subtracting the numerators

• By adding the denominators

In the water flow example, what is the equation used to find the volume of water?

• v = 2.5t

• v = 10.5t

• v = 5t

• v = 3.5t

Why are linear equations useful in constant rate problems?

• They are only applicable to non-linear problems

• They provide solutions for multiple time intervals

• They require complex calculations

• They can only solve for one specific time

What is the equation used to determine the number of pages typed over time in the first section?

• p = 7/2 t

• p = 5/2 t

• p = 2/7 t

• p = 3/5 t

In the context of Emily's painting, what is the linear equation that represents the area she can paint over time?

• a = 12/5 t

• a = 32/5 t

• a = 5/32 t

• a = 5/12 t

How many square feet can Emily paint in two and a half minutes according to the graph?

• 14 square feet

• 20 square feet

• 16 square feet

• 18 square feet

What is the equation used to determine the distance Joseph can walk over time?

• m = 1/10 t

• m = 1/12 t

• m = 1/6 t

• m = 1/8 t

According to the graph, approximately how long would it take Joseph to walk to his friend's house 4 miles away?

• 50 minutes

• 48 minutes

• 40 minutes

• 30 minutes