Unit 3 Summative Study Guide

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the ratio of the dependent variable (y) to the independent variable (x), represented as k = \frac{y}{x}.

Front

How do you determine which graph has a greater unit rate?

Back

The graph with the steeper slope represents a greater unit rate, indicating a higher value of y per unit of x.

Front

What does the point (1, 3) represent in the context of Amy buying coffee?

Back

The point (1, 3) indicates that the cost for 1 pound of coffee is $3.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

How can you identify a proportional relationship from a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What equation represents the relationship of distance and time for a model train traveling at a constant speed?

Back

The equation is d = vt, where d is distance, v is speed, and t is time.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often expressed as y per x.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values.

Front

What does a slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

What is the significance of the origin in a proportional relationship graph?

Back

The origin (0,0) signifies that when the independent variable is zero, the dependent variable is also zero, indicating no cost or distance.