Understanding Direct Variation

Direct Variation

by Cynthia Santa Ana

Open Ended

Is this table an example of direct variation? If yes, what is the constant of variation?

Open Ended

Is this table an example of direct variation? If yes, what is the constant of variation?

Open Ended

Is this table an example of direct variation? If yes, what is the constant of variation?

Open Ended

Is this table an example of direct variation? If yes, what is the constant of variation?

Open Ended

Is this graph an example of direct variation? Explain why/why not.

Open Ended

Is this graphan example of direct variation? Explain why/why not.

Open Ended

Is this graph an example of direct variation? Explain why/why not.

Multiple Choice

s varies directly as t, and 𝑠 = 8 when 𝑡 = 16. Then find t when 𝑠 = 16.

• 32

• 8

Multiple Choice

v varies directly as g; and 𝑣 = 21 when 𝑔 = 3. Then find g when 𝑣 = 42.

• 294

• 0.5

• 6

Open Ended

A local fast food restaurant takes in $9000 in a 4 hour period. How many hours it would take the restaurant to earn $20,250.

Open Ended

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 14 loads?

Multiple Choice

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

• x = -7
• x = -2.3
• x = 2.3
• x = 7

Multiple Choice

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

​Graph of Direct Variation

​The Graph of Direct Variation:

​

​WILL ALWAYS PASS THROUGH THE ORIGIN!

Multiple Choice

Which of the given graphs is a direct variation?

• A
• B
• C
• D

Multiple Choice

Which of the given graphs is a direct variation?

• A
• B
• C
• D

Multiple Choice

Is this a direct variation?

• yes
• no

Multiple Choice

Is this a direct variation?

• yes
• no