Module 1 Review

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if y is proportional to x, then y = kx for some constant k.

Front

If a 6-inch sandwich weighs 0.45 lb, how do you find the weight of an 18-inch sandwich?

Back

To find the weight of the 18-inch sandwich, set up a proportion: (0.45 lb / 6 in) = (x lb / 18 in). Solve for x to find that x = 1.35 lb.

Front

What does the equation y = 12x represent in the context of volunteers and students?

Back

This equation indicates that for every 12 students, 1 adult volunteer is needed. It shows a direct proportionality between the number of students and the number of volunteers.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y). The order matters; (1, 2) is different from (2, 1).

Front

Is the statement 'For a graph to show a proportional relationship, it must be a straight line that passes through the origin' true or false?

Back

True. A proportional relationship is represented by a straight line that passes through the origin (0,0) on a graph.

Front

How many quarts of paint are needed to cover 140 square feet if 4 quarts cover 560 square feet?

Back

To find the amount needed for 140 square feet, set up a proportion: (4 quarts / 560 sq ft) = (x quarts / 140 sq ft). Solving gives x = 1 quart.

Front

What is the formula for finding the weight of an object in a proportional relationship?

Back

The formula is y = kx, where y is the weight, k is the constant of proportionality, and x is the length or size of the object.

Front

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

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

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

Back

The origin (0,0) signifies that when there is no input (x=0), the output (y) is also zero, which is a key characteristic of proportional relationships.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

In a proportional relationship, the ratio between the two quantities is constant, while in a non-proportional relationship, this ratio changes.