Practice Lesson Quiz 2-5 Plus

The graph shows a proportional relationship between the number of cans of tennis balls and the total number of tennis balls. What does the point (2, 6) represent in this situation? Choose all that apply.

• 2 cans contain 6 tennis balls.

• 6 cans contain 2 tennis balls.

• There are 2 tennis balls in 6 cans.

• There are 6 tennis balls in 2 cans.

• There are 12 tennis balls in 6 cans.

Tags

CCSS.MATH.CONTENT.7.RP.A.2.a

CCSS.MATH.CONTENT.7.RP.A.2.b

CCSS.MATH.CONTENT.7.RP.A.2.d

The graph shows a proportional relationship between the number of miles and the number of hours Marco bikes. What equation relates the distance, y, and the time, x?

y = ​ (a)   x

• 15
• 1
• 7.5
• 60

Answer explanation

The answer is 15 as they are looking for k (constant of proportionality). Where x is 1 k= y

Tags

CCSS.MATH.CONTENT.7.RP.A.2.a

CCSS.MATH.CONTENT.7.RP.A.2.b

CCSS.MATH.CONTENT.7.RP.A.2.d

Which graph shows a proportional relationship that passes through the point (2, 1)?

• 
• 
• 
• 

Tags

CCSS.MATH.CONTENT.7.RP.A.2.a

A graph is a straight line through the point (0, 7). Can the graph represent a proportional relationship? Explain.

• Yes; the constant of proportionality is 7.

• Yes; the equation of the line can be written in the form y = kx, where k = 7

• Yes; the graph is a straight line that crosses the y-axis at (0, 7)

• No; the graph of a proportional relationship must pass through (0, 0).

Tags

CCSS.MATH.CONTENT.7.RP.A.2.a

Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

The relationship between the number of shells and their cost is ​ (a)  

The constant of proportionality means that each shell costs ​ (b)  

• proportional
• not proportional
• $0.40
• $0.20
• $0.80

Tags

CCSS.MATH.CONTENT.7.RP.A.2.a

CCSS.MATH.CONTENT.7.RP.A.2.b

In what form is an equation that relates two proportional quantities x and y?

• y=k+x, where k is the constant of proportionality

• y=kx, where k is the constant of proportionality

Tags

CCSS.MATH.CONTENT.7.RP.A.2.b

The equation y = 0.35x describes a proportional relationship between x and y.
What is the constant of proportionality?

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.7.RP.A.2.b

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.7.RP.A.2.b