Unit 3A Study Material

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value (k) that relates two proportional quantities. For example, if y = kx, then k is the constant of proportionality.

Front

What does a unit rate represent?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you determine which deal is better when comparing prices?

Back

To determine which deal is better, calculate the price per unit for each option and compare them. The option with the lower price per unit is the better deal.

Front

What is the slope of a line?

Back

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. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, identify the slope of the line, which represents the amount of one quantity earned or produced per unit of another quantity.

Front

What is the formula for calculating the constant of proportionality?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is zero.

Front

How can you tell if a relationship is not proportional?

Back

A relationship is not proportional if the ratio between the two quantities changes or if the graph does not pass through the origin (0,0).

Front

What is a proportional relationship in a table?

Back

A proportional relationship in a table shows that as one quantity increases, the other quantity increases at a constant rate, resulting in equivalent ratios.