Exploring Constant Rate of Change

The video tutorial covers the concept of constant rate of change, explaining how it can be identified and calculated in various contexts. It begins with a theoretical overview, followed by practical examples using programming costs and car washing fundraisers. The tutorial demonstrates how to use tables and graphs to find and analyze constant rates, emphasizing the importance of unit rates in understanding proportional relationships.

What is a constant rate of change?

• A rate that varies over time

• A rate that describes how one quantity changes in relation to another and remains the same

• A rate that only applies to non-linear relationships

• A rate that changes randomly

In the example of the computer programmer, what is the constant rate of change per line of code?

• $15 per line

• $10 per line

• $25 per line

• $20 per line

How do you find the constant rate of change using a table?

• By averaging the values in the table

• By finding the difference between consecutive values and dividing them

• By adding the values in the table

• By multiplying the values in the table

What is the constant rate of change in dollars per car for the booster club's car wash fundraiser?

• $12 per car

• $10 per car

• $8 per car

• $5 per car

What is the approximate constant rate of change in miles per minute for the plane travel example?

• 12 miles per minute

• 10 miles per minute

• 8 miles per minute

• 5 miles per minute

How can you use a graph to find the constant rate of change?

• By finding the slope between any two points on the line

• By adding the coordinates of the points

• By counting the number of points on the graph

• By measuring the distance between the points

What does the point (0, 0) represent on a graph showing distance traveled?

• Starting point with zero distance and zero time

• Maximum distance traveled

• Average distance traveled

• End point of the journey

What does the point (1, 60) represent on the same graph?

• Traveling 30 miles in two hours

• Traveling 30 miles in one hour

• Traveling 60 miles in one hour

• Traveling 60 miles in two hours

Which store charges more per hour for bicycle rentals?

• Neither store charges for rentals

• Pedal Rentals

• Super Cycles

• Both charge the same

What is the rate of change for Super Cycles in dollars per hour?

• $12 per hour

• $6 per hour

• $8 per hour

• $10 per hour