PA Chapter 5 Test

Front

What is the constant of proportionality in a linear relationship?

Back

The constant of proportionality is the ratio of the dependent variable to the independent variable in a proportional relationship, represented as k in the equation y = kx.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost of the item by the number of units (e.g., ounces, liters) it contains.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If a graph passes through the origin (0,0), what does this indicate about the relationship?

Back

It indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

Front

What is the formula for finding the constant of proportionality from a graph?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

How do you determine which item is less expensive per unit?

Back

Calculate the unit price for each item and compare them; the item with the lower unit price is less expensive.

Front

What is a scale model?

Back

A scale model is a representation of an object that maintains the proportions of the original object but is smaller or larger in size.

Front

How do you convert a scale measurement to actual size?

Back

Multiply the scale measurement by the scale factor to find the actual size.

Front

What is the relationship between the points (0, 0), (3, 1.2), and (6, 2.4) in a graph?

Back

These points indicate a linear relationship where the cost increases proportionally with the number of dog toys.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much the dependent variable changes for a unit change in the independent variable.