Benchmark 1 Review: Part 2

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​Part 2: Constant of Proportionality

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Constant Proportionality (k)

Multiple Choice

k represents

• the constant of proportionality

• the king

• ketchup

• a strikeout

Multiple Choice

Which equation helps you solve for k?

• $$k\ =\ \frac{x}{y}$$

• $$k\ =\ \frac{y}{x}$$

• k = y + x

• k = 2x

How to spot k CONSTANT PROPORTIONALITY

• Unit Rate (each, every, per, a)

• Examples: 55 miles per hour, $4.25 per pound, 0.1 kilometer per minute

How to FIND k (constant proportionality)

• From a TABLE:

  • DIVIDE using the right column divided by the left column

  • Divide using the bottom row divided by the top row

Multiple Choice

Which of the tables above represents a proportional relationship?

• a & c
• a, b & c
• a, c & d
• all of them

Multiple Choice

What is the constant of proportionality for this table?

• $ $$\frac{1}{9}$$ per hour

• $9 per hour

• $8 per hour

Fill in the Blanks

Identify the constant of proportionality and give it to me in a sentence as the Unit rate.

Multiple Choice

What is the constant of proportionality? (Unit rate)

• 2 swings per day

• 0.5 swings per day

• 4 swings per day

• None of the above

​From a EQUATION y=kx:

Look for the number beside x

Multiple Choice

Which equation matches the constant of proportionality?

• x = yk

• yk = x

• y = kx

• l x w

Multiple Choice

Identify the constant of proportionality in this equation.

• k

• 2

• 4

• none (not proportional)

Fill in the Blanks

If the constant of proportionality is $\frac{1}{2}$ , what is the equation?

• From a GRAPH:

  • Divide using any ordered pair (x,y) on the line.

Multiple Choice

Which graph shows a proportional relationship?

Multiple Choice

What is k in this proportional relationship?

• 60 miles per hour

• 120 miles per hour

• 1 mile per hour

• 180 miles per hour

Fill in the Blanks

Identify the constant of proportionality and tell me what it mean as the Unit rate.

Multiple Choice

What is the constant of proportionality ordered pair for the following graph?

• ( 2 , 80 )

• ( 1 , 20 )

• ( 1 , 40 )

• ( 4 , 160 )

Multiple Choice

Write an equation that represents the relationship between the weight(x) and the cost(y).

• $$y=\frac{1}{2}x$$

• $$y=\frac{1}{4}x$$

• y = 2x

• y = 4x

How to FIND and USE k (constant proportionality)

​If Rebecca eats 24 chips in 2 hours and 48 chips in 4 hours, how many chips can she eat in 3 hours?

Multiple Choice

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  How many hours does Craig work to make $101.75?

• 13 hour

• 5 hour

• 11 hour

• 8 hour

Multiple Select

Which of the following statements is TRUE about the graph? Choose all that apply.

• The point (2, 8) shows that 8 pounds of cheese cost $2.00.

• The point (1.5, 6) shows the cost is $6.00 for 1.5 pounds of cheese.

• The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

• The point (0.25, 1) shows the cost is $0.25 for 1 pound of cheese.

• The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

Multiple Choice

Identify the constant of proportionality.

• k = 25

• k = 50

• k = 100

• k = 1/50

• none (not proportional)

Multiple Choice

Determine the missing value in the table.

• 15

• 3

• 1/3

• 9

Multiple Choice

Which tables and graphs show a proportional relationship?

• A,B,D

• A,C,F

• B,D,E

• B,C,F