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

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)

• 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

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