Proportional Relationships and Conversions

This video tutorial covers solving problems using equations, including calculating distance and time for a car traveling at a constant speed, determining the volume of water in bottles, converting distances between kilometers and miles, understanding value equivalence in Canadian coins, exploring proportional relationships in tables, and identifying scaled copies of polygons.

What does the number 65 represent in the equation d = 65t?

• The time taken in hours

• The distance traveled in miles

• The speed of the car in miles per hour

• The fuel efficiency of the car

How far does the car travel in 1.5 hours?

• 65 miles

• 32.5 miles

• 97.5 miles

• 130 miles

How many fluid ounces are in 51 bottles of water if each bottle holds 17 ounces?

• 102 ounces

• 34 ounces

• 51 ounces

• 867 ounces

How many bottles are needed to hold 51 fluid ounces of water?

• 3 bottles

• 4 bottles

• 1 bottle

• 2 bottles

What is the equation to convert kilometers to miles if 1 mile is approximately 1.61 kilometers?

• x = 1.61y

• y = 1.61x

• x = y/1.61

• y = x/1.61

How many quarters are equivalent to two toonies in Canadian currency?

• 16 quarters

• 8 quarters

• 20 quarters

• 4 quarters

What does one-eighth represent in the context of Canadian coins?

• One-eighth of a quarter

• One-eighth of a toonie

• One-eighth of a dollar

• One-eighth of a dime

If 2x = 10y, what is the constant of proportionality?

• 0.5

• 10

• 5

• 2

In a proportional relationship table, what is the constant of proportionality if 5m = 3n?

• 1/3

• 1/5

• 5/3

• 3/5

What indicates that two polygons are not scaled copies of each other?

• They have the same shape

• They have different angle measures

• They have the same perimeter

• They have the same size