Proportionality and Rate Problems

The video tutorial covers lesson 12, focusing on using graphs to compare relationships. It includes practice problems where students match graphs with equations, analyze proportional relationships, and solve real-world problems like coffee shop pricing and bike riding speeds. The tutorial emphasizes understanding constants of proportionality and interpreting graph slopes.

What is the main task in the practice problems of lesson 12?

• To solve algebraic equations

• To match graphs with equations

• To calculate the area of shapes

• To find the volume of solids

What is the constant of proportionality for a graph where y equals x?

• Two

• Three

• Zero

• One

If you work 4 hours and earn 1 dollar, what is your hourly wage?

• 1 dollar

• 75 cents

• 50 cents

• 25 cents

Which graph represents a higher constant of proportionality?

• A graph with a gentle slope

• A graph with a steep slope

• A horizontal line

• A vertical line

What happens to the cost per ounce as the volume of coffee increases?

• It decreases

• It increases

• It doubles

• It remains the same

How many calories are there per ounce if 150 calories are in 10 ounces?

• 15 calories

• 20 calories

• 12 calories

• 10 calories

What is the constant of proportionality for Andre's biking speed?

• One-fourth

• One

• One-third

• One-half

Who is biking faster, Lynn or Andre?

• Both are the same

• Andre

• Lynn

• Cannot be determined

What is the constant of proportionality for Lynn's biking speed?

• Three-tenths

• One-fourth

• One-half

• Two-thirds

How much farther does Lynn travel compared to Andre in one minute?

• 0.07 kilometers

• 0.01 kilometers

• 0.05 kilometers

• 0.03 kilometers