Definitions
What do we call a comparison of two numbers or amounts, like 2 to 3 or 4 to 5?
ratio
In a proportional relationship, if one quantity doubles, the other quantity also doubles.
True
In a proportional relationship, the ratio of the change in one quantity to the change in another is described by the ________ of proportionality.
constant
What term describes a ratio where the denominator is always 1, like $3 per item?
unit rate
A unit rate tells you how much of something there is per two units of another quantity.
False
A ________ is a special type of ratio where the second quantity is 1, such as speed measured in miles per hour.
Unit Rate
What do you call a ratio that compares two quantities of different kinds, like the cost of gas per gallon?
Rate
Rates are always expressed as fractions where the numerator and denominator have the same units.
False
When the cost of 6 items is $24, the cost per item can be expressed as a ________ rate.
unit
What is the name of the number that tells you how much one quantity changes compared to another in a proportional relationship?
constant of proportionality
To find the constant of proportionality, you divide one quantity by the other in a proportional relationship.
True
When you compare two ratios and find that they simplify to the same value, they are said to be ________.
equivalent
What is it called when two quantities change in a way that keeps their ratio constant?
proportional relationship
In a proportional relationship, if the constant of proportionality is 2/3, then the ratio 8/12 is proportional to 12/8
False
When comparing two ratios to determine if they represent a proportional relationship, you can use the method of ________ to check if the ratios are equivalent.
cross-multiplying