Multiplicative Relationships

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is a relationship between two quantities where one quantity is a constant multiple of the other. It can be expressed in the form y = kx, where k is a constant.

Front

In the equation y = kx, what does y represent?

Back

y represents the dependent variable, which changes in response to the independent variable x.

Front

In the equation y = kx, what does k represent?

Back

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

Front

What is the equation for a direct variation?

Back

The equation for a direct variation is y = kx, where k is a non-zero constant.

Front

If k = 3 in the equation y = kx, what is the relationship between y and x?

Back

For every increase of 1 in x, y increases by 3.

Front

What does it mean if k is a fraction in the equation y = kx?

Back

If k is a fraction, it indicates that y increases at a slower rate than x. For example, if k = 1/2, then for every increase of 1 in x, y increases by 0.5.

Front

How do you find the value of y when x = 4 and k = 2 in the equation y = kx?

Back

Substitute x = 4 into the equation: y = 2 * 4 = 8.

Front

What is the graph of a multiplicative relationship?

Back

The graph of a multiplicative relationship is a straight line that passes through the origin (0,0) with a slope equal to k.

Front

If y = 5x, what is the value of y when x = 3?

Back

y = 5 * 3 = 15.

Front

What does it mean if the slope (k) is negative in the equation y = kx?

Back

A negative slope indicates an inverse relationship, meaning as x increases, y decreases.