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 a non-zero constant.

Front

What does the constant k represent in direct variation?

Back

The constant k represents the rate of change or the slope in the direct variation equation y = kx.

Front

How can you identify a direct variation graph?

Back

A direct variation graph is a straight line that passes through the origin (0,0).

Front

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

Back

If x is doubled, y will also double.

Front

What is the equation of direct variation when k = 3?

Back

The equation is y = 3x.

Front

If y = 4 when x = 2, what is the value of k?

Back

k = 2, since y = kx gives 4 = k(2).

Front

What is the slope of the line in a direct variation graph?

Back

The slope of the line in a direct variation graph is equal to the constant k.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles, since distance varies directly with time.

Front

What is another name for direct variation?

Back

Direct proportionality.

Front

If y = 10 when x = 5, what is the equation of variation?

Back

y = 2x.