Flashcard #2-2: Graphing Proportional Relationships

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

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities, often expressed in the equation y = kx.

Front

Write an equation in the form y = kx for a constant of proportionality of 15.

Back

y = 15x

Front

If the constant of proportionality is 1/3, what is the equation in the form y = kx?

Back

y = (1/3)x

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What is the constant of proportionality if y = 6 when x = 2?

Back

The constant of proportionality is 3, since 6/2 = 3.

Front

If a girl makes 4 bracelets, how many bracelets does she make per girl if 8 girls are making them?

Back

4 bracelets per girl.

Front

What is the total cost of tickets if each ticket costs $75 and there are 7 adults?

Back

The total cost is $525, calculated as 7 x $75.

Front

Write an equation for a relationship where the constant of proportionality is 18.50.

Back

y = 18.50x

Front

What is the equation for a proportional relationship where y = 5 when x = 1?

Back

y = 5x