Direct Variation

Front

Is this a direct variation? y = 2x

Back

Yes, this is a direct variation.

Front

What does the Direct Variation Equation look like?

Back

y = kx

Front

If y varies directly with x, and y is 84 when x is 16, what is the constant of proportionality?

Back

k = 5.25

Front

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

Back

y = 117

Front

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

Back

k = 13

Tags

CCSS.HSF-LE.A.1B

Front

Define direct variation.

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

What is the constant of variation in the equation y = kx?

Back

The constant of variation (k) is the ratio of y to x.

Tags

CCSS.HSF-LE.A.1B

Front

If y = 10 when x = 2, what is the constant of variation?

Back

k = 5

Tags

CCSS.HSF-LE.A.1B

Front

If y varies directly with x, and y = 30 when x = 3, what is the equation of variation?

Back

y = 10x

Front

What is the graphical representation of direct variation?

Back

A straight line that passes through the origin.