Finding Unit Rates from a Graph of a Proportional Relationship

The video tutorial covers the concept of proportional relationships, explaining how they appear on graphs and how to calculate unit rates. It uses examples like subway car speed, Curiosity Rover speed, concert ticket costs, and sound speed through steel to illustrate these concepts. The tutorial emphasizes the importance of understanding unit rates and proportional relationships in various contexts.

What is a key characteristic of a proportional relationship on a graph?

• It never intersects the axes.

• It passes through the origin.

• It has a constant slope of zero.

• It forms a curve.

How do you determine the unit rate of the subway car's speed?

• By finding the slope of the line.

• By dividing the total distance by total time.

• By calculating the distance traveled in one minute.

• By measuring the time taken to travel one mile.

What is the unit rate of the Curiosity Rover's speed?

• 3 inches per second

• 2 inches per second

• 1.5 inches per second

• 1 inch per second

How can you find the cost of one concert ticket using a graph?

• By using the cross products property.

• By measuring the distance between points on the graph.

• By finding the slope of the line.

• By calculating the average cost of all tickets.

What is the cost of one concert ticket if two tickets cost $61?

• $30.50

• $31.00

• $29.50

• $32.00

What is the unit rate for hourly wages if one hour of work earns $15?

• $15 per hour

• $12 per hour

• $20 per hour

• $10 per hour

How fast does sound travel through steel in kilometers per second?

• 4 km/s

• 7 km/s

• 5 km/s

• 6 km/s