Comparing Proportional Relationships (P.3)

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 quantity is constant.

Front

How do you determine the constant of proportionality from an equation?

Back

The constant of proportionality can be determined from an equation in the form y = kx, where k is the constant.

Front

What does a steeper line on a graph indicate about the constant of proportionality?

Back

A steeper line indicates a larger constant of proportionality, meaning that for each unit increase in x, y increases more.

Front

How can you compare two proportional relationships represented by equations?

Back

You can compare them by examining their constants of proportionality; the larger the constant, the steeper the line.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero, indicating that when x is zero, y is also zero.

Front

How do you find the total cost if you know the price per hour and the number of hours?

Back

Multiply the price per hour by the number of hours to find the total cost.

Front

What is the formula for calculating the unit rate?

Back

The unit rate is calculated by dividing the total quantity by the number of units, expressed as quantity per unit.

Front

How can you determine who has a better rate when comparing two people or companies?

Back

Compare their unit rates; the one with the lower unit rate has the better deal.

Front

What is the relationship between the number of days a restaurant is open and the number of people served in a proportional relationship?

Back

In a proportional relationship, as the number of days increases, the number of people served increases at a constant rate.

Front

How do you interpret a graph that shows a proportional relationship?

Back

You can interpret the graph by analyzing the slope, which represents the constant of proportionality, and the line's steepness.