Conversions and Proportional Relationships

The video tutorial covers two main problems: calculating the cost of gasoline per gallon and converting cups to tablespoons. It explains how to use unit rates and the distributive property to calculate costs and demonstrates how to graph these relationships. The tutorial also discusses the concept of independent and dependent variables in the context of these problems.

What does the constant 2.95 represent in the gasoline cost equation?

• The total number of gallons available

• The number of gallons purchased

• The cost per gallon of gasoline

• The total cost of gasoline

How can you simplify the calculation of 3 gallons of gasoline costing $2.95 per gallon?

• By dividing the total cost by 3

• By subtracting $1 from the total

• By using the distributive property

• By adding $3 to the total

In the graph of gasoline costs, what does the x-axis represent?

• The total number of gallons available

• The cost per gallon

• The total cost in dollars

• The number of gallons purchased

What is the constant of proportionality when converting cups to tablespoons?

• 18

• 12

• 14

• 16

How many tablespoons are in one cup?

• 16 tablespoons

• 18 tablespoons

• 12 tablespoons

• 14 tablespoons

If you have 3 cups, how many tablespoons is that equivalent to?

• 56 tablespoons

• 40 tablespoons

• 48 tablespoons

• 32 tablespoons

What is the equation to convert cups to tablespoons?

• Tablespoons = 12 * Cups

• Tablespoons = 18 * Cups

• Tablespoons = 14 * Cups

• Tablespoons = 16 * Cups

If you have 2.5 cups, how many tablespoons is that?

• 32 tablespoons

• 36 tablespoons

• 40 tablespoons

• 44 tablespoons

What is the relationship between the number of cups and tablespoons in terms of proportionality?

• The number of cups is 12 times the number of tablespoons

• The number of tablespoons is 16 times the number of cups

• The number of tablespoons is 12 times the number of cups

• The number of cups is 16 times the number of tablespoons

How can you verify the conversion of cups to tablespoons using a graph?

• By confirming the line is vertical

• By checking if the line passes through (0,0) and (3,48)

• By ensuring the line is horizontal

• By checking if the line passes through (0,0) and (3,32)