Gr7 Ch 5.2 Lesson 4: C.O.P. MIX

Gr7 Ch 5.2 Lesson 4: C.O.P. MIX

Constant of Proportionality Mixed Review

Goals

• Find constant of proportionality in tables

• Write an equation using the constant of proportionality

• Find constant of proportionality in graphs

Multiple Choice

What is the correct way to find the constant of proportionality?

• $\frac{x}{y}$

• $\frac{y}{x}$

Constant of Proportionality

remember, in order to find the constant of proportionality you need to do:

 $y\div x\$  or  $\frac{y}{x}$  

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

Multiple Choice

Determine the constant of proportionality for the table. Express your answer as y = kx

• y = 1/2x

• x = 1/2y

• y = 2x

• k = x

Writing equations for tables

• first find the constant of proportionality

• the format of the equation is y = kx

• replace the k value with the constant of proportionality

Multiple Choice

Write an equation for this relationship.

• y = 18x
• y = 18.50x
• y = 22.50x
• y = 22x

Constant of Proportionality in Graphs

Find a point on the graph and divide y/x

*remember proportional graphs go through (0,0)

Multiple Choice

• Proportional

• Non-proportional

Multiple Choice

What is the unit rate?

• 10

• 5

• 1

• 2

Multiple Choice

Identify the constant of proportionality.

• k = 5

• k = 1/5

• k = 1

• k = 2.5

• none (not proportional)

Constant of Proportionality Word Problems

• Determine the unit rate for the word problem! k= y/x

Multiple Choice

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

• 102 words per minute
• 100 words per minute
• 400 words per minute
• 412 words per minute

Multiple Choice

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

• $7 per hour
• $6 per hour
• $6.80 per hour
• $17.40 per hour

Open Ended

Explain what you learned about the constant of proportionality.