Writing Equations for Proportional Relationship Between Distance and Time

This video tutorial explains how to represent proportional relationships between total cost and number of items by finding the unit price. It covers calculating unit price, writing proportional equations, and visualizing data through graphs. The tutorial uses examples like pizza slices to illustrate these concepts, emphasizing the constant proportionality and the equation form y = mx.

What is the unit price if a pizza with 8 slices costs $14.80?

• $1.85

• $2.00

• $2.50

• $1.50

In a proportional relationship equation, what does the 'm' represent?

• The dependent variable

• The independent variable

• The total cost

• The constant of proportionality

How do you determine the unit price?

• Add the total cost to the number of items

• Multiply the total cost by the number of items

• Divide the total cost by the number of items

• Subtract the number of items from the total cost

What is the form of the equation used to represent proportional relationships?

• y = mx

• y = mx + b

• y = x/m

• y = m/x

Why is the graph of a proportional relationship a straight line through the origin?

• Because the total cost is always decreasing

• Because the number of items is always increasing

• Because the ratio of cost to number of items is constant

• Because the cost per item is variable