Understanding Unit Rates in Equations and Graphs

The video tutorial discusses the concept of unit rates, comparing the unit rate of the equation y = 6.5x with the unit rate of a graph. It explains that the unit rate is the change in y for a change of 1 in x. The equation has a unit rate of 6.5, while the graph shows a unit rate of 3.5. The tutorial concludes that the graph's unit rate is less than that of the equation.

What is the main focus when discussing the unit rate in this context?

• The size of the graph

• The change in y for a change of 1 in x

• The color of the graph

• The speed of a car

In the equation y = 6.5x, what happens to y when x increases by 1?

• y increases by 6.5

• y doubles

• y remains the same

• y decreases by 6.5

What is the unit rate of change for the equation y = 6.5x?

• 6.5

• 5.5

• 1.5

• 3.5

How much does y increase in the graph when x increases by 1?

• 2

• 4

• 6.5

• 3.5

Which has a greater unit rate, the equation or the graph?

• Neither has a unit rate

• The graph

• The equation

• Both are equal

What conclusion can be drawn about the unit rates of the equation and the graph?

• Both unit rates are the same

• The equation's unit rate is greater

• The graph's unit rate is greater

• The unit rates cannot be compared