Direct Variation

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

• yes, the constant of variation is 1/2

• yes, the constant of variation is 2

• no, there is constant of variation.

On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

• 27 cm

• 675 cm

• 529 cm

• 32 cm

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

• yes, the constant of variation is 2

• yes, the constant of variation is 1/2

• no, there is no constant of variation

Is this a direct variation?
y=2x

• yes

• no

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

• 4/5

• 17

• 16

• 25

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

• 88/3

• 28

• 66/4

• 24

The letter k in the equation y = kx stands for

• the constant of proportionality

• king

• queen

Does this table of values represent a direct variation?

• Yes

• No

An equation of direct variation can be written in the form: y = kx

• True

• False

Do x and y show direct variation?

y = 5x

• Yes

• No