4.1.4 Reflection & Practice (Pages 94-95)

Front

What is the unit rate in the equation y = 3.6x?

Back

The unit rate is 3.6, which represents the constant of proportionality.

Front

What does the constant of proportionality represent in a linear equation?

Back

The constant of proportionality is the ratio of the dependent variable to the independent variable, indicating how much the dependent variable changes for each unit change in the independent variable.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost by the total weight or quantity. For example, if Jerry paid $4.59 for 5.4 pounds of pears, the unit price is $4.59 ÷ 5.4 = $0.85 per pound.

Front

What is the formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Amount / Total Units.

Front

If a recipe calls for 2 cups of flour for 4 servings, what is the unit rate of flour per serving?

Back

The unit rate of flour per serving is 0.5 cups per serving (2 cups ÷ 4 servings).

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate and the constant of proportionality are equivalent; both describe the same ratio in a proportional relationship.

Front

If a car travels 120 miles in 2 hours, what is the unit rate of speed?

Back

The unit rate of speed is 60 miles per hour (120 miles ÷ 2 hours).

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or unit rate.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the unit price of an item that costs $10 for 3 items?

Back

The unit price is $3.33 per item ($10 ÷ 3 items).