Finding Unit Rates through Graphs

This video tutorial teaches how to find unit rates using graphs. It explains the concept of unit rates, common mistakes, and provides three methods to determine unit rates from graphs and tables. The tutorial includes examples to illustrate these methods and concludes with a summary of the key points.

What is a unit rate in the context of a graph?

• The slope of the graph

• The intercept of the graph

• The ratio of dependent to independent variable for one unit

• The total area under the graph

What common error might occur when stating a unit rate?

• Reversing the dependent and independent variables

• Multiplying instead of dividing

• Adding the variables together

• Ignoring the units of measurement

What does a unit rate of '3 dollars per pound' imply?

• For every dollar, you get three pounds

• For every three dollars, you get one pound

• For every pound, you pay three dollars

• For every three pounds, you pay one dollar

In a proportional relationship, what does the unit rate describe?

• The quantity of the dependent variable per one unit of the independent

• The total quantity of the dependent variable

• The change in the independent variable per unit of the dependent

• The maximum value of the graph

How can you find the unit rate from a graph using an ordered pair?

• Divide the y-coordinate by the x-coordinate

• Subtract the x-coordinate from the y-coordinate

• Add the coordinates of the pair

• Multiply the coordinates

If a graph's scale is not visible, how can you determine the unit rate?

• Estimate based on the graph's trend

• Use another method like checking the table

• You cannot determine it without the scale

• Guess based on previous knowledge

What should you do if the graph has breaks and no labels?

• Use the third method of finding unit rates

• Stop and ask for a labeled graph

• Make an educated guess based on the shape

• Calculate the average rate from visible points

What is the unit rate if 30 miles are covered in 10 hours?

• 300 miles per hour

• 3 miles per hour

• 0.3 miles per hour

• 10 miles per hour

How do you calculate the unit rate if one tick mark equals one unit?

• Sum all the tick marks

• Find the change in y for a change of one in x

• Multiply the number of ticks by the units

• Divide total ticks by total units

What method can be used to find the unit rate when the graph lacks clear labels?

• Picking any ordered pair and dividing

• Using the slope formula

• None, it's impossible without labels

• Estimation based on graph curvature