15.A.2 Direct and Inverse Variation

What does the Direct Variation Equation look like?

• Y= kx
• y = mx + b
• y = b
• y = x

Which of the following is NOT a direct variation?

• y = -2x
• y = 1/2x
• 2x + 3y = 2
• 3y = 4x

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 

• y=20x
• y=84x
• y=7/3x
• y=3/7x

Which of the given graphs is a direct variation?

• A
• B
• C
• D

What kind of equation is this?
xy=8

• Linear Equation
• Direct Variation
• Inverse Variation
• Joint Variation

Is the given table a direct variation? If so, what is the constant?

• Yes; 1/3
• Yes; 3
• Yes; 5
• No

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

• 8 painters
• 10 painters
• 9 painters
• 11 painters

4 workers working at the same rate can paint a house in 24 hours. How long would it take 6 painters working at the same rate to paint the house? 

• 16 hours
•  18 hours
• 36 hours
• 96 hours

Tags

CCSS.HSA.CED.A.1

Is the given table a direct or inverse variation? What is the constant of variation?

• Direct, 12
• Inverse, 12
• Direct, 1/12
• Inverse, 1/12

Which situation involves a direct variation?

• As the number of miles you travel increases, the amount of gas in the tank decreases.
• As the number of hours you study increases, the grade you get on your SOL increases.
• The amount of ice in a glass decreases as the temperature increases.