Constant Rates of Change in 7th Grade Math

This video tutorial covers the concept of constant rates of change and proportional relationships. It begins with an introduction to these concepts, followed by an exploration of a tortoise's speed to illustrate constant rates. The video then delves into proportional relationships, using examples like Kelly's dog-sitting and a school field trip to demonstrate how to identify and represent these relationships. The tutorial also explains how to write equations for proportional relationships, emphasizing the importance of the constant of proportionality.

What is the unit rate of the tortoise's movement?

• 3.5 inches per second

• 10.5 inches per second

• 7 inches per second

• 14 inches per second

How far does the tortoise travel in 2 seconds?

• 14 inches

• 10.5 inches

• 7 inches

• 3.5 inches

What is the rate of change in the tortoise's movement?

• 3.5 inches per second

• 4.5 inches per second

• 5.5 inches per second

• 2.5 inches per second

Which of the following indicates a proportional relationship?

• No rates of change

• Constant rates of change

• Different rates of change

• Variable rates of change

What is the rate of change in Kelly's earnings per day?

• $17 per day

• $16 per day

• $15 per day

• $14 per day

What is the constant of proportionality in the equation y = KX?

• K

• Y

• X

• None of the above

If a car travels at a constant speed of 65 miles per hour, how far will it travel in 2 hours?

• 120 miles

• 130 miles

• 140 miles

• 150 miles

If 2 pounds of cashews cost $19, what is the cost per pound?

• $10.00

• $9.50

• $9.00

• $8.50

How many students can 3 adults accompany on a school field trip?

• 36 students

• 30 students

• 42 students

• 24 students

What is the equation for a proportional relationship where the constant of proportionality is 9.5?

• y = 9.5x

• y = 9.5 + x

• y = x / 9.5

• y = 9.5 - x