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 is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two variables in a direct variation. It represents the ratio of y to x.

Front

What does the Direct Variation Equation look like?

Back

The Direct Variation Equation is y = kx.

Front

If y varies directly with x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, since they are directly proportional.

Front

Write an equation for the direct variation where k = 3.

Back

y = 3x.

Front

If Trina earns $187.15 for 19 hours of work, what is her hourly wage?

Back

Her hourly wage is $9.84 (calculated as $187.15 / 19 hours).

Front

If y = 2x, is this a direct variation?

Back

Yes, this is a direct variation because it can be expressed in the form y = kx.

Front

What is an example of a real-world situation that represents direct variation?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If the constant of proportionality is 5, what is the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

How can you determine if a relationship is a direct variation from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, then it is a direct variation.