Exploring Ratio Tables and Graphing Techniques

This video tutorial covers how to create and use ratio tables, using examples like flour and cookies, and lawns mowed for money earned. It explains scaling ratios, filling tables, and graphing them on a coordinate plane. The video also provides tips on using ratio tables effectively.

What is the purpose of a ratio table?

• To organize information and relate two quantities

• To graph functions without a coordinate plane

• To calculate the area of shapes

• To solve complex algebraic equations

In the context of the video, what does one unit of flour correspond to in batches of cookies?

• Eight batches

• Two batches

• One batch

• Four batches

How can you scale a ratio in a ratio table?

• By adding the same number to both quantities

• By multiplying or dividing both quantities by the same number

• By subtracting one quantity from another

• By dividing one quantity by another

What is the result of scaling a ratio up or down?

• A completely different ratio

• An equivalent ratio

• A ratio that cannot be graphed

• A ratio that only works with whole numbers

What does plotting equivalent ratios on a coordinate plane illustrate?

• A nonlinear relationship between the two quantities

• A straight line through the points indicating equivalent ratios

• A parabolic curve

• Random distribution of points

How do you determine the correct scale for the axes when graphing ratios?

• By guessing the appropriate scale

• By choosing a scale that fits the range of values for each quantity

• By always using a scale of 1

• By using the same scale for both axes

What does it indicate if the points plotted from a ratio table do not form a straight line?

• Both A and B

• The ratios form a nonlinear relationship

• The graph is incorrect

• The ratios are not equivalent

What is a unit ratio?

• A ratio where both quantities are units of measurement

• A ratio that represents the unity of two quantities

• A ratio that can only be used in unit conversion

• A ratio where one of the quantities is one unit

What is the main advantage of converting a ratio to a unit ratio?

• It simplifies the ratio to its most complex form

• It makes it easier to scale the ratio up or down

• It increases the numerical value of the ratio

• It is required for plotting on a coordinate plane

Why might ratio tables be useful?

• They provide a visual representation of ratios

• They replace the need for graphing on a coordinate plane

• They are the only way to solve ratio problems

• They can organize information and help avoid mistakes