Variations

Front

What does the variable 'k' represent in direct variation?

Back

The constant of variation.

Front

If y varies directly as x, and y=30 and x=5, what is the constant of variation?

Back

6

Front

Write the equation for the cost C of fish that varies directly as its weight w in kilograms.

Back

C = kw

Front

Write the equation for the distance D travelled by a car that is directly proportional to its speed s.

Back

D = ks

Front

What type of variation is represented by the relationship between the length of time you charge your cell phone and the battery power?

Back

Direct variation

Front

What is direct variation?

Back

A relationship where one variable is a constant multiple of another.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

If the constant of variation k is 4, what is y when x is 3?

Back

y = 12 (since y = 4 * 3).

Front

What is inverse variation?

Back

A relationship where one variable increases as the other decreases.

Front

What is the formula for inverse variation?

Back

y = k/x, where k is the constant.