Constant of Proportionality Review

Front

What is the constant of proportionality in the equation y = 18.50x?

Back

The constant of proportionality is 18.50.

Front

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

Back

A proportional relationship can be identified if the ratio of y to x is constant for all pairs of values.

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that as one quantity increases, the other quantity increases at a constant rate.

Front

If a gas tank costs $46.80 to fill and holds 13 gallons, how do you find the price per gallon?

Back

Divide the total cost by the number of gallons: $46.80 / 13 = $3.60 per gallon.

Front

What is the formula to calculate unit cost?

Back

Unit cost = Total cost / Number of units.

Front

If you ordered 15 pizzas for $97.50, how do you calculate the cost per pizza?

Back

Divide the total cost by the number of pizzas: $97.50 / 15 = $6.50 per pizza.

Front

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

Back

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

Front

What is a real-world example of a proportional relationship?

Back

A real-world example is the relationship between distance and time when traveling at a constant speed.

Front

How do you write an equation for a proportional relationship given a constant of proportionality?

Back

The equation is written as y = kx, where k is the constant of proportionality.

Front

What is the relationship between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another.