Variations

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

• 7

• 9

• 5

• 21

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

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

• x
• y
• 400
• Not enough information given

Tags

CCSS.HSF-LE.A.1B

If x=2,y=27; when x=6,y=9; find y when x =3

• 9

• 18

• 3

• 27

x is directly proportional to y,but inversely proportional to z. x=⅙, for y=5 and z=9, find x when y=6 & z =⅕.

• 9

• 3y/10z

• 6

• 5

T varies directly as the square root of p and inversely as the square of g. This joint variation can be written as

• $T\propto pg$

• $T\propto\frac{p}{\sqrt{g}}$

• $T\propto\frac{p}{g}$

• $T\propto\frac{\sqrt{p}}{g^2}$

The relations between variables T,w,x is  $T\propto\frac{x^2}{w}$  . It is given that T=32 when x=4 and w=6. Express T in terms of w and x.

•  $\frac{12x^2}{w}$  

•  $\frac{3x^2}{w}$  

•  $\frac{x^2}{12w}$  

•  $\frac{24x^2}{w}$  

Given that  $m\propto\sqrt{p}$  and m= 10 and p=4. Find the value of p if m= 35.

• 7

• 9

• 49

• 81

Given that  $y\propto\frac{1}{\left(x+2\right)^n}$   and  $y=\frac{1}{2}$   when n = 2 and x = 2. Find the value of n when y = 1 and x = 6

•  $\frac{1}{8}$  

•  $\frac{1}{2}$  

• 1

• 2