Intro To Proportional Reasoning

What is one of the learning objectives mentioned in the material?

• Define proportional relationships

• Solve quadratic equations

• Learn about historical events

• Study the periodic table

What does it mean for two quantities to be proportional?

• They have a constant ratio.

• They are always equal.

• They increase at different rates.

• They decrease at different rates.

What is the constant ratio (y ÷ x) in the given table?

• 3

• 2

• 6

• 9

What does it mean when the ratio (y ÷ x) is constant in a table?

• The relationship is proportional.

• The values of x and y are unrelated.

• The ratio changes with each row.

• The relationship is inversely proportional.

What is the ratio when x = 1 and y = 5 in the given example?

• 5

• 4.5

• 4.33

• 1

Why is the example considered "non-proportional"?

• Because the ratio changes for different values of x and y.

• Because the values of x and y are always equal.

• Because the ratio is constant for all values of x and y.

• Because the ratio is always less than 1.

What is the starting fee for the taxi fare in the given example?

• $2

• $3

• $5

• $7

What is the characteristic of a proportional graph?

• The line passes through the origin.

• The line does not pass through the origin.

• The line is curved.

• The line is horizontal.

Determine if the relationship y = 5x is proportional.

• Yes, it is proportional.

• No, it is not proportional.

• It depends on the value of x.

• It is proportional only for positive values of x.

What is true about the graph of a proportional relationship?

• It passes through the origin.

• It has a constant slope but does not pass through the origin.

• It is a curved line.

• It does not have a constant ratio.