Variation and Graphing Rational Functions

Which of the following represents indirect variation? (a)  

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

Which of the following represents direct variation? (a)  

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

What kind of equation is this?
xy=8
(a)  

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

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

The equation 
xy =  25  represents:

• direct variation

• inverse variation

• joint variation

• none of these

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

What is the constant (k) in this inverse variation?
y = 400/x

• x
• y
• 400
• Not enough information given

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

What kind of equation is this?
xy=8
(a)  

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

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

What does the Direct Variation Equation look like?
(a)  

• y= kx
• y = mx + b
• y = b
• y = x

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

• 14
• 10
• 2
• -14

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

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?

Mathematical Equivalence

ON

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.d