Proportions, Constant of Proportionality, and Direct Variation Test

The cost of apples varies directly with the number of pounds purchased. Using the table, find the unit price.

• $3.36/pound

• $\frac{25}{42}$ apples/dollar

• $\frac{3}{5}$ apple/pound

• $1.68/pound

Layla runs 5.6 miles every two days. Which proportion or equation below could be used to solve for the number of miles she would run in eleven days?

•  $\frac{5.6}{2}=11x$  

•  $\frac{2}{5.6}=\frac{11}{x}$  

•  $y=5.6x$  

•  $k=\frac{5.6}{2}$  

Based on this graph, which of the following are true? Select all that apply.

• This graph is a proportional relationship because it is linear and reaches (0,0).

• The unit rate is 10 meters per second.

• The direct variation equation is y = 10x.

• According to this graph, the object would travel 60 meters in 60 seconds.

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

Tags

CCSS.6.EE.C.9

Determine if there is a constant of variation. If so, explain what it represents.

The equation y = 9.50 x represents the number of dollars y Cayden paid for x movie tickets.

• The constant of variation is 9.50. This means that Cayden paid $9.50 for each movie ticket

• There is no constant of variation. There is not a direct variation between the number of tickets and the total cost.

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

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.

• $y=5.10x$

• $y=2.55x+2.55$

• $y=2.55x$

• $2.55y=x$

Which best describes the graph represented in this table?

•  proportional
• non-proportional

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

What is the equation that models the relationship in the table?

• $y=\frac{x}{4}$

• $y=4x$

• $y=x+4$

• $y=x-4$

Is this table proportional?

• Yes
• No

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3