Constant of Variation and 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.

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

• yes, the constant of variation is 8.

• no, there is no constant of variation

• yes, the constant of variation is 1/8

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

• 4/5

• 17

• 16

• 25

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

• k = 13

• k = 65

• k = 5

• k = 1/13

What is the constant of variation (k)?

• 8

• 16

• 24

• 2

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

• 88/3

• 28

• 66/4

• 24

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

• This is a direct variation since the graph passes through the origin and the ratio of the number of miles to the number of hours is constant.

• This is not a direct variation since the graph does not pass through the origin and the ratio of the number of miles to the number of hours is not constant.

• This s a direct variation since the graph is a straight line and the ratio of the number of miles to the number of hours is constant

• This is not a direct variation since the graph is not a straight line and the ratio of the number of miles to the number of hours is not constant.

The cost of paper varies directly with the number of reams bought. Suppose 2 reams cost $5.10. Write an equation that could be used to find the cost of x reams of paper.

• y= 5.10x

• y=2.55x + 2.55

• y = 2.55x

• 2.55y = x

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

• no, there is no constant of variation

• yes, the constant of variation is 100

• yes the constant of variation is 50

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