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y varies directly as x and when x = 6 ,   y = 12.

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y varies directly as the square of x and when x = 4 ,   y = 80 . 

y = 5 x 2

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y varies directly as the square root of x and when x = 36 ,   y = 24.

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y varies directly as the cube of x and when x = 36 , y = 24.

y = 10 x 3

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y varies directly as the cube root of x and when x = 27 ,   y = 15.

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y varies directly as the fourth power of x and when x = 1 ,   y = 6.

y = 6 x 4

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y varies inversely as x and when x = 4 ,   y = 2.

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y varies inversely as the square of x and when x = 3 ,   y = 2.

y = 18 x 2

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y varies inversely as the cube of x and when x = 2 ,   y = 5.

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y varies inversely as the fourth power of x and when x = 3 ,   y = 1.

y = 81 x 4

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y varies inversely as the square root of x and when x = 25 ,   y = 3.

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y varies inversely as the cube root of x and when x = 64 ,   y = 5.

y = 20 x 3

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y varies jointly with x and z and when x = 2 and z = 3 ,   y = 36.

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y varies jointly as x ,   z , and w and when x = 1 ,   z = 2 ,   w = 5 , then y = 100.

y = 10 x z w

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y varies jointly as the square of x and the square of z and when x = 3 and z = 4 , then y = 72.

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y varies jointly as x and the square root of z and when x = 2 and z = 25 , then y = 100.

y = 10 x z

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y varies jointly as the square of x the cube of z and the square root of W . When x = 1 , z = 2 , and w = 36 , then y = 48.

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y varies jointly as x   and   z and inversely as w . When x = 3 ,   z = 5 , and w = 6 , then y = 10.

y = 4 x z w

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y varies jointly as the square of x and the square root of z and inversely as the cube of w .  When x = 3 , z = 4 , and w = 3 , then y = 6.

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y varies jointly as x and z and inversely as the square root of w and the square of t  . When x = 3 , z = 1 , w = 25 , and t = 2 , then y = 6.

y = 40 x z w t 2

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Numeric

For the following exercises, use the given information to find the unknown value.

y varies directly as x . When x = 3 , then y = 12. Find y wneh x = 20.

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y varies directly as the square of x . When x = 2 , then y = 16. Find y when x = 8.

y = 256

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y varies directly as the cube of x . When x = 3 , then y = 5.   Find y when x = 4.

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y varies directly as the square root of x . When x = 16 , then y = 4. Find y when x = 36.

y = 6

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y varies directly as the cube root of x . When x = 125 , then y = 15. Find y when x = 1,000.

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y varies inversely with x . When x = 3 , then y = 2. Find y when x = 1.

y = 6

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y varies inversely with the square of x . When x = 4 , then y = 3. Find y when x = 2.

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y varies inversely with the cube of x . When x = 3 , then y = 1. Find y when x = 1.

y = 27

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y varies inversely with the square root of x . When x = 64 , then y = 12. Find y when x = 36.

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y varies inversely with the cube root of x . When x = 27 , then y = 5. Find y when x = 125.

y = 3

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y varies jointly as x   and   z . When x = 4 and z = 2 , then y = 16. Find y when x = 3 and z = 3.

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y varies jointly as x ,   z ,   and   w . When x = 2 , z = 1 , and w = 12 , then y = 72. Find y when x = 1 , z = 2 , and w = 3.

y = 18

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y varies jointly as x and the square of z. When x = 2 and z = 4 , then y = 144. Find y when x = 4 and z = 5.

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y varies jointly as the square of x and the square root of z . When x = 2 and z = 9 , then y = 24. Find y when x = 3 and z = 25.

y = 90

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y varies jointly as x and z and inversely as w . When x = 5 , z = 2 ,   and   w = 20 , then y = 4. Find y when x = 3 and z = 8 ,   and   w = 48.

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y varies jointly as the square of x and the cube of z and inversely as the square root of w .  When x = 2 , z = 2 , and w = 64 , then y = 12. Find y when x = 1 , z = 3 , and   w = 4.

y = 81 2

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Questions & Answers

The sequence is {1,-1,1-1.....} has
amit Reply
circular region of radious
Kainat Reply
how can we solve this problem
Joel Reply
Sin(A+B) = sinBcosA+cosBsinA
Eseka Reply
Prove it
Eseka
Please prove it
Eseka
hi
Joel
June needs 45 gallons of punch. 2 different coolers. Bigger cooler is 5 times as large as smaller cooler. How many gallons in each cooler?
Arleathia Reply
find the sum of 28th term of the AP 3+10+17+---------
Prince Reply
I think you should say "28 terms" instead of "28th term"
Vedant
if sequence sn is a such that sn>0 for all n and lim sn=0than prove that lim (s1 s2............ sn) ke hole power n =n
SANDESH Reply
write down the polynomial function with root 1/3,2,-3 with solution
Gift Reply
if A and B are subspaces of V prove that (A+B)/B=A/(A-B)
Pream Reply
write down the value of each of the following in surd form a)cos(-65°) b)sin(-180°)c)tan(225°)d)tan(135°)
Oroke Reply
Prove that (sinA/1-cosA - 1-cosA/sinA) (cosA/1-sinA - 1-sinA/cosA) = 4
kiruba Reply
what is the answer to dividing negative index
Morosi Reply
In a triangle ABC prove that. (b+c)cosA+(c+a)cosB+(a+b)cisC=a+b+c.
Shivam Reply
give me the waec 2019 questions
Aaron Reply
the polar co-ordinate of the point (-1, -1)
Sumit Reply
Practice Key Terms 7

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Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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