Multiplicative Relationships

Front

What is a multiplicative relationship?

Back

A relationship where one quantity is a constant multiple of another, often expressed in the form y = kx.

Front

What does the variable 'k' represent in the equation y = kx?

Back

The constant of proportionality that indicates how much y changes for a change in x.

Front

How do you identify a multiplicative relationship from a table of values?

Back

Look for a consistent ratio between the values of y and x.

Front

What is the equation for a direct variation?

Back

y = kx, where k is a non-zero constant.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 3(4) = 12.

Front

What is the graph of a multiplicative relationship?

Back

A straight line that passes through the origin (0,0).

Front

How do you write an equation for a multiplicative relationship given a constant k?

Back

Use the form y = kx.

Front

What is the difference between a multiplicative relationship and an additive relationship?

Back

In a multiplicative relationship, the change in y is proportional to the change in x, while in an additive relationship, y changes by a constant amount regardless of x.

Front

If k = 2 in the equation y = kx, what does this mean?

Back

For every unit increase in x, y increases by 2 units.

Front

What is the value of k if y = 10 when x = 5?

Back

k = y/x = 10/5 = 2.