Direct Variation

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality (k) represent in direct variation?

Back

The constant of proportionality (k) represents the ratio of y to x in a direct variation relationship. It indicates how much y changes for a unit change in x.

Front

If y varies directly with x and y = 84 when x = 16, what is k?

Back

k = 5.25

Front

If $70 is earned in 5 hours, how much is earned in 22 hours?

Back

$308

Front

What is the unit rate if $3.60 is for 3 pounds of apples?

Back

$1.20 per pound

Front

Which graph represents a direct variation?

Back

Graph C represents a direct variation.

Front

Is the table showing a direct variation if the values are (1, 2), (2, 4), (3, 6)?

Back

Yes; k = 2.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx.

Front

How do you find the constant of proportionality from a direct variation equation?

Back

To find k, divide y by x (k = y/x).

Front

If y = 10 when x = 2, what is the constant of proportionality?

Back

k = 5.