Proportional Relationships and Unit Rates

The video tutorial covers interpreting graphs of proportional relationships, starting with a shower graph to determine water usage over time. It then explores cost calculations for amusement park entry, using equations to represent proportional relationships. The tutorial also examines jaguar speed through time and distance graphs, and concludes with a snack mix recipe to illustrate proportions. Each section emphasizes the use of equations and unit rates to understand proportionality.

What is the main topic introduced in the first section of the lesson?

• Calculating unit rates

• Interpreting graphs of proportional relationships

• Understanding non-linear graphs

• Solving quadratic equations

How can you determine if the shower graph represents a proportional relationship?

• The line is vertical

• The line is horizontal

• The line is curved

• The line is straight and passes through the origin

If a person uses 15 gallons of water, how long can they shower according to the graph?

• 20 minutes

• 5 minutes

• 15 minutes

• 10 minutes

What equation format is used to represent the relationship between gallons of water and shower time?

• y = mx + b

• y = x + c

• y = kx

• y = x^2

What is the unit rate for the cost of amusement park tickets?

• $75 per person

• $50 per person

• $25 per person

• $100 per person

What does the point (5, 250) represent in the amusement park graph?

• 250 people pay a total of $5

• 5 people pay a total of $250

• 5 people pay $250 each

• 250 people pay $5 each

How many feet does the jaguar run in 5 seconds according to the graph?

• 290 feet

• 174 feet

• 58 feet

• 100 feet

What is the unit rate of the jaguar's speed?

• 58 feet per second

• 29 feet per second

• 87 feet per second

• 116 feet per second

In the snack mix recipe, how many cans of peanuts are needed for each package of cashews?

• 4 cans

• 1 can

• 2 cans

• 3 cans

What equation represents the relationship between cashews and peanuts in the snack mix?

• p = c + 2

• p = 2c

• p = 2c + 1

• p = c/2