Proportional Relationships and Rates

The video tutorial covers identifying proportional and nonproportional relationships using tables. It includes examples and exercises such as babysitting pay, snowfall data, movie rental costs, driving distances, and state park visits. The lesson emphasizes checking for a constant multiplier or divisor to determine proportionality.

What is the main focus of lesson three in module one?

• Studying historical events

• Identifying proportional and nonproportional relationships in tables

• Learning about geometric shapes

• Understanding algebraic expressions

In the babysitting example, how much would you earn for working 3 hours?

• $36

• $32

• $24

• $16

Why is the babysitting pay considered proportional to the hours worked?

• Because the pay is always multiplied by the same number of hours

• Because the pay is a fixed amount regardless of hours

• Because the pay decreases with more hours

• Because the pay increases by a different amount each hour

In the snowfall data exercise, what was the multiplier for most of the pairs?

• 2

• 3

• 10

• 5

Why was the snowfall data not considered proportional?

• Because the multiplier was the same for all pairs

• Because the snowfall was constant

• Because the multiplier was different for the first pair

• Because the time was not recorded accurately

In the movie rental example, what is the unit rate for the cost per day?

• 1/3

• 1/2

• 1/4

• 1/5

Why is the movie rental cost considered proportional to the number of days?

• Because the cost is the same for all days

• Because the cost increases randomly

• Because the cost decreases with more days

• Because the cost per day is consistent

In the driving distance example, how many miles can be driven per gallon of gas?

• 25 miles

• 27 miles

• 30 miles

• 35 miles

How many gallons are needed to drive 189 miles?

• 5 gallons

• 7 gallons

• 8 gallons

• 6 gallons

What is a key indicator of a proportional relationship?

• A constant addition for all pairs

• A varying addition for each pair

• A varying multiplier for each pair

• A constant multiplier or divisor for all pairs