Proportional Relationships Unit 3 E

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 find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the constant of proportionality?

Back

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

Front

How do you determine the lowest cost per unit?

Back

To determine the lowest cost per unit, calculate the cost per unit for each option and compare them. For example, for a 20-lb bag costing $23.44, the cost per pound is $23.44 ÷ 20 = $1.172.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

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

Back

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

Front

If y = 2x + 3, what is the slope?

Back

The slope is 2, which indicates that for every 1 unit increase in x, y increases by 2 units.

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both terms of the ratio by the second term. For example, for a ratio of 40 to 5, the unit rate is 40 ÷ 5 = 8.

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship on a graph.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified from a table of values if the ratios of corresponding values are constant.