8th Grade Unit 5 Test Corrections

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. For example, if you buy apples for $2.99 per pound, the cost increases proportionally with the weight.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if a person earns a fixed salary regardless of hours worked, it is non-proportional.

Front

What does the equation y = 2x represent in terms of calories?

Back

The equation y = 2x indicates that the number of calories in a serving of cauliflower (y) is twice the number of calories in a serving of asparagus (x).

Front

How do you determine if a relationship is proportional?

Back

To determine if a relationship is proportional, check if the ratio between the two quantities remains constant across all values.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

If 600 customers were served in 10 hours, what is the unit rate of customers served per hour?

Back

The unit rate is 60 customers per hour (600 customers ÷ 10 hours = 60 customers/hour).

Front

What is the significance of the graph in representing functions?

Back

A graph represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

What is an example of a proportional relationship in real life?

Back

An example is the cost of gas per gallon; if gas costs $3 per gallon, then 2 gallons cost $6, maintaining a constant ratio.

Front

What is an example of a non-proportional relationship in real life?

Back

An example is a flat fee for a service, such as a monthly subscription, where the cost does not change with usage.