Understanding Proportional Relationships

The video tutorial covers the concept of ratios and proportional relationships using various examples, including shapes, trail mix, and scales. It explains how to use tables and equations to identify proportional relationships and compares these relationships using graphs. The tutorial also discusses the constant of proportionality and its significance in different contexts.

Which shape is different based on the given width-to-height ratios?

• Shape A

• Shape D

• Shape B

• Shape C

What is the constant of proportionality in the chocolate milk example?

• 1/2

• 2/3

• 3/2

• 4/3

How many tiles are needed for 10 square meters of ceiling?

• 107.5 tiles

• 100 tiles

• 110 tiles

• 105 tiles

What is the scale factor used to create a scaled copy of a polygon with an area of 45 square units from one with 5 square units?

• 6

• 3

• 5

• 9

If a car travels at 65 miles per hour, how far does it travel in 1.5 hours?

• 97.5 miles

• 65 miles

• 32.5 miles

• 130 miles

Which of the following scenarios is an example of a non-proportional relationship?

• A taxi service charges a flat rate for the first mile and a different rate for each additional mile.

• A rabbit runs at a constant speed throughout a race.

• A drink costs the same per ounce regardless of the size.

• A sound level increases at a constant rate with distance.

What is the constant of proportionality in the equation y = 1760m?

• m

• 1760

• y

• 1/1760

In a table showing a proportional relationship, what should be true about the ratio of y to x?

• It should be different for each row.

• It should be the same for each row.

• It should increase as x increases.

• It should decrease as x increases.

Which graph feature indicates a proportional relationship?

• A curved line passing through the origin

• A straight line passing through the origin

• A line that curves upwards

• A straight line not passing through the origin

If a graph shows a straight line through the origin, what does this indicate about the relationship between the variables?

• The relationship is non-proportional.

• The variables are inversely proportional.

• The relationship is proportional.

• The variables are unrelated.